@article{ 
author = {Al-Omari, Ahmad and Noiri, Takashi},  
title = {A Topology Generated by ψ-Operation and Ideal Spaces}, 
abstract ={In this paper, we introduce the notion of ψ-operation on an m-space (X, m). By using the ψ-operation, for every subset A of X, we define the ψ-operation Aψ(I, m) with respect to an ideal I and an m-structure m and investigate their properties. Moreover, on the m we introduce and investigate the notion of ψ-compatibility with an ideal I.},  
Keywords = {Ideal m-space, ψ-operation, ψ-open, m-open, m_{ψ}^{∗)-open, ψ-compatible.},
volume = {20},
Number = {1}, 
pages = {1-11}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.1},
url = {http://ijmsi.ir/article-1-1836-en.html},  
eprint = {http://ijmsi.ir/article-1-1836-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Hajimohammadi, Zeinab and Parand, Kourosh and Pakniyat, Ai},  
title = {An Advanced Numerical Approach To Solve Viscous Flow Via Modified Generalized Laguerre Functions}, 
abstract ={This paper presents an advanced numerical approach that applies the quasilinearization method (QLM) and collocation method (CM) based on modified generalized Laguerre functions (MGLFs) to solve a nonlinear system of ordinary differential equations governing viscous flow with heat transfer and magnetic fields on a semi-infinite domain. We demonstrate the effectiveness and accuracy of the proposed method by comparing it with previous well-known methods. The results show that the proposed method provides an effcient and accurate solution to the problem.},  
Keywords = {Viscous Flow, Non-linear Stretching, Modified Generalized Laguerre Functions, Quasi Linearization Collocation Method, System of Nonlinear Ordinary Differential Equations.},
volume = {20},
Number = {1}, 
pages = {13-41}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.13},
url = {http://ijmsi.ir/article-1-1839-en.html},  
eprint = {http://ijmsi.ir/article-1-1839-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Ferreira, João Carlos da Motta and Marietto, Maria das Graças Bruno},  
title = {Mappings Preserving Sum of Products ab + b ◦ a^∗ on Factor Von Neumann Algebras}, 
abstract ={Let A and B be two factor von Neumann algebras. In this paper, we proved that a bijective mapping Φ : A → B satisfies Φ(ab+b◦a∗) = Φ(a)Φ(b)+Φ(b)◦Φ(a)∗ (where ◦ is the special Jordan product on A and B), for all elements a, b ∈ A, if and only if Φ is a ∗-ring isomorphism. In particular, if the von Neumann algebras A and B are type I factors, then Φ is a unitary isomorphism or a conjugate unitary isomorphism.  },  
Keywords = {∗-ring isomorphisms, Factor von Neumann algebras.},
volume = {20},
Number = {1}, 
pages = {43-51}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.43},
url = {http://ijmsi.ir/article-1-1911-en.html},  
eprint = {http://ijmsi.ir/article-1-1911-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Gatcha, Messaouda and Messelmi, Farid and Saadi, Slami},  
title = {Image Enhancement and Restoration Approach Based on Anisotropic Diffusion}, 
abstract ={We propose a new approach for image enhancement, denoising and restoration, using an anisotropic diffusion based on P-M model and L.V and al. equation, replacing the gradient by motion by mean curvature to detect noise direction for each degraded pixel locally, applying the gradient in Gaussian kernel term to restore the degraded pixels and adding a time term supporting the restoration process. For execution progress, the numerical discretization for the terms of PDE modeling (obtained by the approximation by difference finite volumes finite method, Taylor method and Simpsons improved method), concludes an algorithm treats noised image regardless the noise type (salt-pepper or Gaussian or speckle) better than other filters based whether on anisotropic diffusion or total, shown in the experimental results (using MATLAB program), and demonstrated through PSNR and SSIM.  },  
Keywords = {Image restoration, Anisotropic diffusion, Regularization, Noise filters.},
volume = {20},
Number = {1}, 
pages = {53-67}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.53},
url = {http://ijmsi.ir/article-1-1772-en.html},  
eprint = {http://ijmsi.ir/article-1-1772-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Gabrani, Mehran and Rezaei, Bahman and Sevim, Esra Sengele},  
title = {The General (α, β)-metrics with Quadratic Curvatures}, 
abstract ={In this paper, we consider the Riemannian curvature of one of the most important metric in Finsler geometry called general (α, β)- metrics, where α is a Riemannian metric and β is 1-form. We give a complete classification of the metrics to be R-quadratic and Ricci-quadratic.},  
Keywords = {General (α, β)-metric, R-quadratic, Ricci-quadratic.},
volume = {20},
Number = {1}, 
pages = {69-78}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.69},
url = {http://ijmsi.ir/article-1-1832-en.html},  
eprint = {http://ijmsi.ir/article-1-1832-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {AbdulRahman, N. A. and Ahmad, M. Z.},  
title = {Fuzzy Sumudu Transform for System of Fuzzy Differential Equations with Fuzzy Constant Coeffcients}, 
abstract ={In this study, we employ fuzzy Sumudu transform to find the solution for system of linear fuzzy differential equations where the system possesses fuzzy constant coeffcients instead of crisp. For this purpose, fuzzy Sumudu transform has been revisited and a brief comparison with fuzzy Laplace transform is provided alongside, particularly on the scale preserving property. For the sake of comparison, we introduce to the literature a time scaling theorem for fuzzy Laplace transform. Next, the system with fuzzy constant coeffcients is interpreted under the strongly generalized differentiability. From here, new procedures for solving the systems are proposed. A numerical example is then carried out for solving a system adapted from fuzzy radioactive decay model. Conclusion is drawn in the last section and some potential research directions are given.},  
Keywords = {Fuzzy Sumudu transform, Fuzzy differential equations, System of fuzzy differential equations, Fuzzy Laplace transform, Radioactive decay model.},
volume = {20},
Number = {1}, 
pages = {79-100}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.79},
url = {http://ijmsi.ir/article-1-1841-en.html},  
eprint = {http://ijmsi.ir/article-1-1841-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Alghueiri, Shatha and Al-Zoubi, Khaldou},  
title = {On Graded Semi $J_{gr}$-2-absorbing and Graded Weakly Semi $J_{gr}$-2-absorbing Submodules}, 
abstract ={Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concepts of graded semi Jgr-2-absorbing and graded weakly semi Jgr-2-absorbing submodules of M and study the behavior of these notions under several constructions. A proper graded submodule N of M is said to be a graded semi Jgr-2-absorbing (resp. graded weakly semi Jgr-2-absorbing) submodule of M if whenever rg ∈ h(R) and mh ∈ h(M) with rg2mh ∈ N (resp. 0 ≠ rg2mh ∈ N), then either rgmh ∈ N + Jgr(M) or rg2∈ (N + Jgr(M) :R M), where Jgr(M) is the graded Jacobson radical.  },  
Keywords = {Graded semi $J_{gr}$-2-absorbing submodules, Graded weakly semi $J_{gr}$-2-absorbing submodules, Graded $J_{gr}$-2-absorbing submodules.},
volume = {20},
Number = {1}, 
pages = {101-110}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.101},
url = {http://ijmsi.ir/article-1-1847-en.html},  
eprint = {http://ijmsi.ir/article-1-1847-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Viriyapong, Nongluk and Boonpok, Chawalit},  
title = {$zeta_varsigma$-$R_0$ and $zeta_varsigma$-$R_1$ Strong Generalized Topological Spaces}, 
abstract ={The purpose of the present paper is to introduce the concepts of ζς-R0 and ζς-R1 strong generalized topological spaces are defined by utilizing the notions of (ζ, ς)-open sets and (ζ, ς)-closure operators. Moreover, several characterizations of ζς-R0 and ζς-R1 strong generalized topological spaces are investigated.},  
Keywords = {Generalized topological space, (ζ, ς)-open set, (ζ, ς)-closure, $ζ_ς-R_0$ strong generalized topological space, $ζ_ς-R_1$ strong generalized topological space.},
volume = {20},
Number = {1}, 
pages = {111-123}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.111},
url = {http://ijmsi.ir/article-1-1851-en.html},  
eprint = {http://ijmsi.ir/article-1-1851-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Saravanan, M. and Kathiresan, KM.},  
title = {On the Independence Graph of Hamming Graph}, 
abstract ={The independence graph Ind(G) of a graph G is the graph with vertices as maximum independent sets of G and two vertices are adjacent, if and only if the corresponding maximum independent sets are disjoint. In this work, we find the independence graph of Cartesian product of d copies of complete graphs Kq, which is known as the Hamming graph H(d, q). Greenwell and Lovasz [7] found that the independence number of direct product of d copies of Kq as qd−1. We prove that the independence number of Hamming graph H(d, q), which is cartesian product of d copies of Kq, is also qd−1. As an application of our findings, we find answers for rook problem in higher dimensional square chess board.},  
Keywords = {Hamming graph, Cartesian product, Independent set, Independence Graph, Rook problem.},
volume = {20},
Number = {1}, 
pages = {125-130}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.125},
url = {http://ijmsi.ir/article-1-1865-en.html},  
eprint = {http://ijmsi.ir/article-1-1865-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Allahverdiev, Bilender P. and Tuna, Hüseyi},  
title = {Existence Problem for Impulsive Nonlinear Sturm-Liouville Problems on the Whole Line}, 
abstract ={The existence problem is studied for the impulsive nonlinear Sturm–Liouville equation on the whole line. Existence and uniqueness results are obtained.  },  
Keywords = {Impulsive Sturm-Liouville problem, Singular point, Weyl limitcircle case, Completely continuous operator, Fixed point theorems.},
volume = {20},
Number = {1}, 
pages = {131-149}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.131},
url = {http://ijmsi.ir/article-1-1876-en.html},  
eprint = {http://ijmsi.ir/article-1-1876-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Khan, Sabahat Ali and Abbasi, Mohammad Yahya and Hila, Kostaq and Raza, Ahm},  
title = {Some Characterizations of Γ−semihypergroups by Soft Generalized Γ-hyperideals}, 
abstract ={The aim of this paper is to establish a relationship between soft sets and Γ-semihypergroups. In this aspect, we have introduced soft intersection generalized interior Γ-hyperideals and soft intersection generalized bi-Γ-hyperideals of Γ-semihypergroups with some interesting examples. Moreover, we study some characterizations of regular, intraregular, semisimple and right weakly regular Γ-semihypergroups in terms of soft intersection generalized interior Γ-hyperideals and soft intersection generalized bi-Γ-hyperideals.  },  
Keywords = {Γ-semihypergroups, Soft generalized Γ-hyperideals, Regular and intra-regular Γ-semihypergroups, Interior simple Γ-semihypergroups.},
volume = {20},
Number = {1}, 
pages = {151-174}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.151},
url = {http://ijmsi.ir/article-1-1878-en.html},  
eprint = {http://ijmsi.ir/article-1-1878-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Dragomir, Silvestru Sever},  
title = {Some Hermite-Hadamard Type Inequalities for Convex Functions Defined on Convex Bodies Via Gauss-Ostrogradsky Identity}, 
abstract ={In this paper, by the use of Gauss-Ostrogradsky identity, we establish some integral inequalities of Hermite-Hadamard type for functions of three variables defined on closed and bounded convex bodies of the Euclidean space R3. Some examples for 3-dimensional balls are also provided.},  
Keywords = {Hermite-Hadamard inequality, Triple integral inequalities, GaussOstrogradsky identity.},
volume = {20},
Number = {1}, 
pages = {175-191}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.175},
url = {http://ijmsi.ir/article-1-1886-en.html},  
eprint = {http://ijmsi.ir/article-1-1886-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Hesamian, Gholamreza and Akbari, Mohamad Ghasem and Shams, Mehdi},  
title = {A Fuzzy Multivariate Regression Model to Control Outliers and Multicollinearity Based on Exact Predictors and Fuzzy Responses}, 
abstract ={Multivariate regression is an approach for modeling the linear relationship between several variables. This paper proposed a ridge methodology with a kernel-based weighted absolute error target with exact predictors and fuzzy responses. Some standard goodness-of-fit criteria were also used to examine the performance of the proposed method. The effectiveness of the proposed method was then illustrated through two numerical examples including a simulation study. The effectiveness and advantages of the proposed fuzzy multiple linear regression model were also examined and compared with some well-established methods through some common goodness-of-fit criteria. The numerical results indicated that our prediction/estimation gives more accurate results in cases where multicollinearity and/or outliers occur in the data set.  },  
Keywords = {Goodness-of-fit measure, Robust, Multicollinearity, Kernel function, Outlier.},
volume = {20},
Number = {1}, 
pages = {193-204}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.193},
url = {http://ijmsi.ir/article-1-1926-en.html},  
eprint = {http://ijmsi.ir/article-1-1926-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Antczak, Tadeusz and Ahmad, Izhar},  
title = {New Concepts of Generalized Convexity in Multiobjective Subset Programming}, 
abstract ={In this paper, a new class of nonconvex differentiable multiobjective programming problems involving n-set functions with both inequality and equality constraints is considered. Then, under V-r-convexity and/or generalized V-r-convexity hypotheses, several suffcient optimality conditions, saddle point criteria and various mixed duality theorems are proved for such not necessarily convex vector optimization problems involving n-set functions.},  
Keywords = {Vector optimization problem with n-set functions, Optimality conditions, Saddle point criteria, Mixed duality, V -r-convex n-set function.},
volume = {20},
Number = {1}, 
pages = {205-229}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.205},
url = {http://ijmsi.ir/article-1-1919-en.html},  
eprint = {http://ijmsi.ir/article-1-1919-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Heydari, Abbas},  
title = {On the Terminal Distance Matrix of Graphs}, 
abstract ={Let G be a simple connected graph. The terminal distance matrix of G is the distance matrix between all pendant vertices of G. In this paper, we study the terminal distance matrix and compute the characteristic polynomial of this matrix for some rooted trees. Also we obtain lower bounds for the spectral radius of the terminal distance matrix of graphs and characterize those graphs for which the bounds are best possible.  },  
Keywords = {Terminal distance matrix, Terminal distance spectral radius, Terminal Wiener index.},
volume = {20},
Number = {1}, 
pages = {231-241}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.20.1.231},
url = {http://ijmsi.ir/article-1-1936-en.html},  
eprint = {http://ijmsi.ir/article-1-1936-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {inthisVolume, The Name of Authors},  
title = {ABSTRACTS IN PERSIAN Vol. 20, No. 1}, 
abstract ={Please see the full text contains the Persian abstracts of this volume. },  
Keywords = {ABSTRACTS, PERSIAN, Vol. 20, No. 1.},
volume = {20},
Number = {1}, 
pages = {243-258}, 
publisher = {ACECR at Tarbiat Modares University},
url = {http://ijmsi.ir/article-1-2883-en.html},  
eprint = {http://ijmsi.ir/article-1-2883-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Zeinali, Masoumeh and Maheri, Fariba and Tomasiello, Stefani},  
title = {The Modified MCE-product: An Efficient Approach to Treat Fuzzy Coefficients in Differential Equations}, 
abstract ={In this paper, first, we modify the recently introduced MCEproduct to include the property of shape-preserving. This product has attractive properties. For example, it is distributive with respect to the addition and it doesn’t depend on the signs of multiplied fuzzy numbers. Then, the effectiveness and applicability of the modified MCE-product are investigated in treating differential equations with fuzzy multiplications. Due to the complexity of fuzzy multiplication, differential equations with fuzzy coefficients are one of the most challenging topics in the field of fuzzy differential equations. In this paper, as an example of these equations, the first-order linear differential equation with fuzzy variable coefficients is solved by using the modified MCE-product. This equation was chosen because it has been recently solved by Zadeh extension principle-based product and cross-product and we can compare our results with them. The results show the priority of the MCE-product over the mentioned methods.},  
Keywords = {MCE-Product, GH-differentiability, Fuzzy differential equation, Analytical solution.},
volume = {20},
Number = {2}, 
pages = {1-16}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.1},
url = {http://ijmsi.ir/article-1-2072-en.html},  
eprint = {http://ijmsi.ir/article-1-2072-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Linzi, Alessandro and Stojałowska, H},  
title = {Hypervaluations on Hyperfields and Ordered Canonical Hypergroups}, 
abstract ={We study the concept of hypervaluations on hyperfields. The main aim of this paper is to show that any hypervaluation from a hyperfield onto an ordered canonical hypergroup is the composition of a hypervaluation onto an ordered abelian group (which induces the same valuation hyperring) and an order preserving homomorphism of hypergroups. This implies that the generalization of hypervaluations proposed in [13] can be reduced to the original definition of hypervaluation given by Davvaz and Salasi in [4]. Moreover, we provide counterexamples to some assertions which appear in [13].},  
Keywords = {Hypergroup, Hyperfield, Hyperring, Hypervaluation, Ordered canonical hypergroup.},
volume = {20},
Number = {2}, 
pages = {17-29}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.17},
url = {http://ijmsi.ir/article-1-2055-en.html},  
eprint = {http://ijmsi.ir/article-1-2055-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Estaremi, Y. and Ebadian, A. and Esmaeili, S.},  
title = {Fredholm Composition Operators on Harmonic Bloch-Type Spaces}, 
abstract ={In this paper we characterize Fredholm and invertible composition operators on harmonic Bloch function spaces. Indeed, we provide some necessary and sufficient conditions for Fredholmness of composition operators. Also, we investigate the relation between the Fredholm and invertible composition operators on harmonic Bloch function spaces.},  
Keywords = {Harmonic function, Fredholm operator, Composition operator, Univalent function.},
volume = {20},
Number = {2}, 
pages = {31-39}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.31},
url = {http://ijmsi.ir/article-1-1941-en.html},  
eprint = {http://ijmsi.ir/article-1-1941-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {CanoM, Ricardo and JiménezM., José A. and RuizV., Jorge M.},  
title = {Exact Solution of a Stochastic Differential Model for Repeated Dose Pharmacokinetics}, 
abstract ={This paper examines the dynamics of drug concentration in the body accounting for random factors like patient and environmental variability. We develop an explicit solution for drug concentration using a Stochastic Differential Equation (SDE) model. We calculate formulas for the expected value and variance, enabling statistical evaluation and prediction of the drug’s concentration trajectory and its uncertainty. The unknown parameters in the model are estimated using the method of moments. We apply our proposed methods to a real-world dataset, providing useful insights analysis of drug concentration and the determination of its therapeutic range.  },  
Keywords = {Stochastic differential equations, Brownian motion process, Analytic solutions, Stochastic simulation, Pharmacokinetics.},
volume = {20},
Number = {2}, 
pages = {41-62}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.41},
url = {http://ijmsi.ir/article-1-2096-en.html},  
eprint = {http://ijmsi.ir/article-1-2096-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Shahbazi, Laila and AbdollahzadehAhangar, Hossein and Khoeilar, Rana and Sheikholeslami, Seyed Mahmou},  
title = {Lower Bounds on Signed Total Double Roman k-domination in Graphs}, 
abstract ={A signed total double Roman k-dominating function (STDRkDF) on an isolated-free graph G = (V, E) is a function f : V (G) → {-1, 1, 2, 3} such that (i) every vertex v with f(v) = -1 has at least two neighbors assigned 2 under f or at least one neighbor w with f(w) = 3, (ii) every vertex v with f(v) = 1 has at least one neighbor w with f(w) ≥ 2 and (iii) ∑u∈N(v) f(u) ≥ k holds for any vertex v. The weight of an STDRkDF is the value f(V (G)) = ∑u∈V (G) f(u). The signed total double Roman k-domination number γstdR k (G) is the minimum weight among all signed total double Roman k-dominating functions on G. In this paper we present sharp lower bounds for γstdR 2 (G) and γstdR 3 (G) in terms of the order and the size of the graph G.},  
Keywords = {Signed total double Roman k-dominating function, Signed total double Roman k-domination number.},
volume = {20},
Number = {2}, 
pages = {63-77}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.63},
url = {http://ijmsi.ir/article-1-2018-en.html},  
eprint = {http://ijmsi.ir/article-1-2018-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Aremu, K. O. and Izuchukwu, C. and Mewomo, O. T.},  
title = {Convergence Theorems for Proximal Point Method Involving Multivalued Nonexpansive Mappings in p-Uniformly Convex Metric Spaces}, 
abstract ={In this paper, we first extend the class of multivalued nonexpansive mappings to p-uniformly convex metric spaces. Furthermore, we propose and study an iterative algorithm involving p-resolvent operators of proper, convex and lowersemicontinuous functions for approximating a common solution of a finite family of minimization problems which is also a common fixed points of two multivalued nonexpansive mappings in p-uniformly convex metric space. Our proposed algorithm converges to a common element in the intersection of the set of minimizers of a finite family of proper, convex and lower semicontinuous functions and the set of common fixed points of two multivalued nonexpansive mappings. Finally, we demonstrate the applicability of our results with a numerical example. Our results improve many important and recent results in this direction.},  
Keywords = {p-uniformly convex metric spaces, Multivalued nonexpansive mapping, p-resolvent operators.},
volume = {20},
Number = {2}, 
pages = {79-99}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.79},
url = {http://ijmsi.ir/article-1-2105-en.html},  
eprint = {http://ijmsi.ir/article-1-2105-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Ashraf, Mohammad and Jabeen, Aisha and Wei, Feng},  
title = {Multiplicative Lie Triple Higher Derivation on Unital Algebra}, 
abstract ={In this article, we show that under certain assumptions every multiplicative Lie triple higher derivation  L= {Li}i∈N on U is of standard form, i.e., each component Li has the form Li = δi + γi, where {δi}i∈N is an additive higher derivation on U and {γi}i∈N is a sequence of mappings γi : U → Z(U) vanishing at Lie triple products on U.},  
Keywords = {Unital algebra, Lie triple derivation, Lie triple higher derivation.},
volume = {20},
Number = {2}, 
pages = {101-121}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.101},
url = {http://ijmsi.ir/article-1-2021-en.html},  
eprint = {http://ijmsi.ir/article-1-2021-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Abdollahi, Alireza and Ebrahimi, Mahdi},  
title = {Zero Divisors of Support Size 3 in Complex Group Algebras of Finite Groups}, 
abstract ={It is proved that if 1 + x + y or 1 + x - y cannot occur as a zero divisor of the complex group algebra of a finite group G for any two distinct x, y ∈ G {1}, then G is solvable. We also characterize all finite abelian groups with the latter property. The motivation of studying such property for finite groups is to settle the existence of zero divisors with support size 3 in the integral group algebra of torsion free residually finite groups.},  
Keywords = {Zero divisors, Complex group algebras, Finite groups.},
volume = {20},
Number = {2}, 
pages = {123-128}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.123},
url = {http://ijmsi.ir/article-1-2048-en.html},  
eprint = {http://ijmsi.ir/article-1-2048-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {S.Ibrahim, Ibrahim and Çolak, Rifat},  
title = {On the Sets of Strongly f-Lacunary Summable Sequences}, 
abstract ={The statistical convergence with respect to a modulus function has various applications in both mathematics and statistics. The main purpose of this research paper is to establish the relations between the sets of strongly f-lacunary summable and strongly g-lacunary summable sequences, strongly f-lacunary summable and g-lacunary statistically convergent sequences, where f and g are different modulus functions under certain conditions. Furthermore, for some special modulus functions, we establish the relations between the sets of strongly f-lacunary summable and strongly lacunary summable sequences.},  
Keywords = {Modulus function, Statistical convergence, f-lacunary statistical convergence, Strong f-lacunary summability.},
volume = {20},
Number = {2}, 
pages = {129-137}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.129},
url = {http://ijmsi.ir/article-1-1948-en.html},  
eprint = {http://ijmsi.ir/article-1-1948-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Mohammadi, Mehdi and ZamaniEskandani, G.},  
title = {Approximation Methods for Solving Quasi-equilibrium Problems in Hadamard Spaces}, 
abstract ={In this paper, we consider quasi-eqilibrium problems which extend equilibrium problems and quasi-variational inequalities as well as variational inequalities in Hadamard spaces. We study ∆-convergence of the sequence generated by the extragradient method to a solution of a quasi-equilibrium problem in Hadamard spaces. Then we show strong convergence of the generated sequence to a solution of the problem by imposing some additional conditions. We also use the Halpern regularization method to prove strong convergence of the generated sequence to a solution of the quasi-equilibrium problem where the equilibrium point is the projection of an arbitrary point u onto the solution set of the problem.},  
Keywords = {Extragradient method, Halpern regularization, Multivalued mapping, Quasi-equilibrium problem, Quasi-nonexpansive.},
volume = {20},
Number = {2}, 
pages = {139-154}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.139},
url = {http://ijmsi.ir/article-1-2050-en.html},  
eprint = {http://ijmsi.ir/article-1-2050-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Danchev, Peter and Samiei, Mahdi},  
title = {The Probability When a Finite Commutative Ring Is (Weakly) Nil-Neat}, 
abstract ={We study the probability of (weak) nil-neatness of a finite commutative ring, which is a natural continuation of the probabilities of (weak) nil-cleanliness that are investigated in [4, 5].},  
Keywords = {Finite ring, Commutative ring, Nil-Neat ring, Weakly Nil-Neat ring, Probability.},
volume = {20},
Number = {2}, 
pages = {155-159}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.155},
url = {http://ijmsi.ir/article-1-2140-en.html},  
eprint = {http://ijmsi.ir/article-1-2140-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Raslan, K. R. and Soliman, A. A. and Abdallah, A. M.},  
title = {On Fractional Integro-Differential Equation with Multiple Time Delays}, 
abstract ={This article is devoted to investigate the anlysis for the solution for a class of linear and nonlinear Caputo fractional FredholmVolterra integro-differential equations with multiple delays. The convergence and stability analysis for these equations are investigated.},  
Keywords = {Multiple delay, Fractional derivative and integrals, Stability.},
volume = {20},
Number = {2}, 
pages = {161-172}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.161},
url = {http://ijmsi.ir/article-1-2016-en.html},  
eprint = {http://ijmsi.ir/article-1-2016-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Mofidi, Alirez},  
title = {Some Mathematical Logical Proofs for the Radon-Nikodym Theorem and the Stone Representation Theorem for Measure Algebras}, 
abstract ={The celebrated Radon-Nikodym theorem and Stone representation theorem for measure algebras are two important classical results in analysis. This paper pursues two main goals. One is to give new proofs for these theorems by using ideas from logic and application of an important theorem, namely, the logical compactness theorem. The second and even more important goal is to try to reveal more the power of logical methods in analysis in particular measure theory, and make stronger connections between two fields of analysis and logic. Through the paper, we use a logical setting called ”integration logic” which is a framework for studying measure and probability structures through logical means. The paper is mostly written for general mathematicians, in particular the people active in logic or analysis as the main audiences. It is self-contained and does not require advanced prerequisite knowledge from logic or analysis.},  
Keywords = {Radon-Nikodym theorem, Stone representation theorem for measure algebras, Logical compactness theorem, Integration logic.},
volume = {20},
Number = {2}, 
pages = {173-189}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.173},
url = {http://ijmsi.ir/article-1-2111-en.html},  
eprint = {http://ijmsi.ir/article-1-2111-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Amritha, V. C. and Subajini, M. and Selvakumar, K.},  
title = {The Cozero-divisor Graph of a Commutative Ring: A Survey}, 
abstract ={In 2011, M. Afkhami and K. Khashyarmanesh introduced the cozero-divisor graph. Let R be a commutative ring with identity and let W∗(R) be the set of all non-zero non-unit elements of R. The cozerodivisor graph Γ′(R) of R is a simple graph with the vertex set W∗(R), and two distinct vertices a and b are adjacent if and only if a ∉ bR and b ∉ aR. In this paper, we offer a survey of results on cozero-divisor graph of commutative rings.},  
Keywords = {Zero-divisor graph, Cozero-divisor graph, Connected, Genus, Finitely generated module.},
volume = {20},
Number = {2}, 
pages = {191-207}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.191},
url = {http://ijmsi.ir/article-1-1956-en.html},  
eprint = {http://ijmsi.ir/article-1-1956-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}

@article{ 
author = {Irshad, Nazia and Khan, Asif R. and AwaisShaikh, Muhamm},  
title = {Generalization of Ostrowski’s Inequality for Differentiable Functions and its Applications}, 
abstract ={We first establish weighted Ostrowski type inequalities for bounded differentiable functions. This inequality is also obtained for bounded above and bounded below differentiable functions. Some applications of the proposed results are presented to numerical standard and non standard quadrature rules. We recapture known results as well as obtain new results.},  
Keywords = {Ostrowski’s inequality, Numerical integration, Differentiable functions.},
volume = {20},
Number = {2}, 
pages = {209-242}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61882/ijmsi.20.2.209},
url = {http://ijmsi.ir/article-1-2009-en.html},  
eprint = {http://ijmsi.ir/article-1-2009-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2025}  
}