1
1735-4463
ACECR at Tarbiat Modares University
283
General
On C3-Like Finsler Metrics
Tayebi
A.
Peyghan
E.
1
5
2012
7
1
1
6
15
02
2012
26
10
2015
In this paper, we study the class of of C3-like Finsler metrics which contains the class of semi-C-reducible Finsler metric. We find a condition on C3-like metrics under which the notions of Landsberg curvature and mean Landsberg curvature are equivalent.
284
General
F-Permutations induce Some Graphs and Matrices
Hasankhani
A.
Shajareh-Poursalavati
N.
1
5
2012
7
1
7
20
15
02
2012
26
10
2015
In this paper, by using the notion of fuzzy subsets, the concept of F-permutation is introduced. Then by applying this notion the concepts of presentation of an F-polygroup, graph of an F-permutation and F-permutation matrices are investigated.
285
General
Common Fixed Points and Invariant Approximations for Cq-commuting Generalized nonexpansive mappings
Chandok
Sumit
Narang
T. D.
1
5
2012
7
1
21
34
15
02
2012
26
10
2015
Some common fixed point theorems for Cq-commuting generalized nonexpansive mappings have been proved in metric spaces. As applications, invariant approximation results are also obtained. The results proved in the paper extend and generalize several known results including those of M. Abbas and J.K. Kim [Bull. Korean Math. Soc. 44(2007) 537-545], I. Beg, N. Shahzad and M. Iqbal [Approx. Theory Appl. 8(1992) 97-105], W.G. Dotson [J. London Math. Soc. 4(1972) 408-410 Proc. Amer. Math. Soc. 38(1973) 155-156.], M. D. Guay, K. L. Singh and J. H. M. Whitfield [Proc. Conference on nonlinear analysis (Ed. S.P.Singh and J. H. Bury) Marcel Dekker 80(1982) 179-189], L. Habiniak [J. Approx. Theory 56(1989) 241-244], N. Hussain and B.E. Rhoades [Fixed Point Theory Appl. Vol. 2006, Article ID 24543, 1-9], T.D. Narang and S. Chandok [Indian J. Math. 51(2009) 293-303 Ukrainian Math. J. 62 (2010) 1367-1376], N. Shahzad [Fixed point Theory Appl. 1(2005) 79-86] and of Y. Song [Comm. Math. Anal. 2(2007) 17-26].
286
General
Constructing Finite Frames via Platonic Solids
Safapour
Ahmad
Shafiee
Maryam
1
5
2012
7
1
35
42
15
02
2012
20
10
2015
Finite tight frames have many applications and some interesting physical interpretations. One of the important subjects in this area is the ways for constructing such frames. In this article we give a concrete method for constructing finite normalized frames using Platonic solids.
294
General
Stability and numerical solution of time variant linear systems with delay in both the state and control
Sedaghat
Salameh
Ordokhani
Yadollah
1
5
2012
7
1
43
57
22
02
2012
26
10
2015
In this paper, stability for uncertain time variant linear systems with time delay is studied. A new sufficient condition for delay-dependent systems is given in matrix inequality form which depends on the range of delay. Then, we introduce a new direct computational method to solve delay systems. This method consists of reducing the delay problem to a set of algebraic equations by first expanding the candidate function as hybrid functions with unknown coefficients. By using collocation method, the coefficients of the hybrid functions are obtained. Some numerical examples are given to illustrate and compare our results with other existing methods in the literature.
287
General
R-parts in hyperrings
Babaei
H.
Jafarpour
M.
Mousavi
S. Sh.
1
5
2012
7
1
59
71
15
02
2012
26
10
2015
In this article, first we generalize the concept of complete parts in hyperrings by introducing the concept R-parts in hyperrings and then we study R-closures in hyperrings. Finally we characterize R-closures in hyperfields.
288
General
A Note on Tensor Product of Graphs
Moradi
Sirous
1
5
2012
7
1
73
81
15
02
2012
26
10
2015
Let $G$ and $H$ be graphs. The tensor product $Gotimes H$ of $G$ and $H$ has vertex set $V(Gotimes H)=V(G)times V(H)$ and edge set $E(Gotimes H)={(a,b)(c,d)| acin E(G):: and:: bdin E(H)}$. In this paper, some results on this product are obtained by which it is possible to compute the Wiener and Hyper Wiener indices of $K_n otimes G$.
292
General
New results on p-Carleson measures and some related measures in the unit disk
Shamoyan
Romi
Abkar
Ali
1
5
2012
7
1
83
90
21
02
2012
26
10
2015
We provide some new sharp embeddings for p-Carleson measures and some related measures in the unit disk of the complex plane.
306
General
Characterizations of the simple group $D_{n}(3)$ by prime graph and spectrum
Foroudi Ghasemabadi
M.
Ahanjideh
N.
1
5
2012
7
1
91
106
17
04
2012
26
10
2015
We prove that $D_n(3)$, where $ngeq6$ is even, is uniquely determined by its prime graph. Also, if $G$ is a finite group with the same prime graph as $D_4(3)$, then $Gcong D_4(3), B_3(3), C_3(3)$ or $G/O_2(G)cong {rm Aut}({}^2B_2(8))$.