Research Paper Combinatorics
1. Normalized laplacian spectrum of two new types of join graphs

M. Hakimi-Nezhaad; M. Ghorbani

Volume 06, Issue 01 , Winter 2017, Pages 1-9

Abstract
  ‎Let $G$ be a graph without an isolated vertex‎, ‎the normalized Laplacian matrix $\tilde{\mathcal{L}}(G)$‎ ‎is defined as $\tilde{\mathcal{L}}(G)=\mathcal{D}^{-\frac{1}{2}}\mathcal{L}(G)\mathcal{D}^{-\frac{1}{2}}$‎, where ‎$\mathcal{D}$ ‎is a‎ diagonal matrix ...  Read More

Research Paper Difference and functional equations
2. The method of radial basis functions for the solution of nonlinear Fredholm integral equations system.

J. Nazari; M. Nili Ahmadabadi; H. Almasieh

Volume 06, Issue 01 , Winter 2017, Pages 11-28

Abstract
  In this paper, An effective and simple numerical method is proposed for solving systems of integral equations using radial basis functions (RBFs). We present an algorithm based on interpolation by radial basis functions including multiquadratics (MQs), using Legendre-Gauss-Lobatto nodes and weights. ...  Read More

Research Paper Fixed point theory
3. Unique common coupled fixed point theorem for four maps in $S_b$-metric spaces

K. P. R. Rao; G. V. N. Kishore; Sk. Sadik

Volume 06, Issue 01 , Winter 2017, Pages 29-43

Abstract
  In this paper we prove a unique common coupled fixed point theorem for two pairs of $w$-compatible mappings in $S_b$-metric spaces satisfying a contrctive type condition. We furnish an example to support our main theorem. We also give a corollary for Junck type maps.  Read More

Research Paper Fixed point theory
4. Coupled fixed point theorems involving contractive condition of integral type in generalized metric spaces

R. Shah; A. Zada

Volume 06, Issue 01 , Winter 2017, Pages 45-53

Abstract
  In this manuscript, we prove some coupled fixed point theorems for two pairs of self mappings satisfying contractive conditions of integral type in generalized metric spaces. We furnish suitable illustrative examples. In this manuscript, we prove some coupled fixed point theorems for ...  Read More

Research Paper Abstract harmonic analysis
5. Characterization of $\delta$-double derivations on rings and algebras

A. Hosseini

Volume 06, Issue 01 , Winter 2017, Pages 55-65

Abstract
  The main purpose of this article is to offer some characterizations of $\delta$-double derivations on rings and algebras. To reach this goal, we prove the following theorem:Let $n > 1$ be an integer and let $\mathcal{R}$ be an $n!$-torsion free ring with the identity element $1$. Suppose ...  Read More

Research Paper Linear and multilinear algebra; matrix theory
6. Computational aspect to the nearest southeast submatrix that makes multiple a prescribed eigenvalue

A. Nazari; A. Nezami

Volume 06, Issue 01 , Winter 2017, Pages 67-72

Abstract
  Given four complex matrices $A$‎, ‎$B$‎, ‎$C$ and $D$ where $A\in\mathbb{C}^{n\times n}$‎ ‎and $D\in\mathbb{C}^{m\times m}$ and let the matrix $\left(\begin{array}{cc}‎ A & B \‎ C & D‎ \end{array} \right)$ be a normal matrix and‎ assume ...  Read More

Research Paper Approximations and expansions
7. New best proximity point results in G-metric space

A. H. Ansari; A. Razani; N. Hussain

Volume 06, Issue 01 , Winter 2017, Pages 73-89

Abstract
  Best approximation results provide an approximate solution to the fixed point equation $Tx=x$, when the non-self mapping $T$ has no fixed point. In particular, a well-known best approximation theorem, due to Fan cite{5}, asserts that if $K$ is a nonempty compact convex subset of a Hausdorff locally ...  Read More