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 $G/O_2(G)cong {rm Aut}({}^2B_2(8))$.