Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060120170301Normalized laplacian spectrum of two new types of join graphs19530214ENM. Hakimi-NezhaadDepartment of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785-136, IranM. GhorbaniDepartment of Mathematics, Faculty of Science, Shahid Rajaee
Teacher Training University, Tehran, 16785-136, IranJournal Article20161110Let $G$ 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 whose entries are degree of vertices of $G$. The eigenvalues of $tilde{mathcal{L}}(G)$ are called as the normalized Laplacian eigenvalues of $G$. In this paper, we obtain the normalized Laplacian spectrum of two new types of join graphs. In continuing, we determine the integrality of normalized Laplacian eigenvalues of graphs. Finally, the normalized Laplacian energy and degree Kirchhoff index of these new graph products are derived.http://jlta.iauctb.ac.ir/article_530214_f255c8fba799a482b12f622798cb0e72.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060120170301The method of radial basis functions for the solution of nonlinear Fredholm integral equations system.1128530220ENJ. NazariDepartment of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University,
Isfahan, IranM. Nili AhmadabadiDepartment of Mathematics, Najafabad Branch, Islamic Azad University,
Najafabad, IranH. AlmasiehDepartment of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University,
Isfahan, IranJournal Article20161103In 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. Also a theorem is proved for convergence of the algorithm. Some numerical examples are presented and results are compared to the analytical solution and Triangular functions (TF), Delta basis functions (DFs), block-pulse functions , sinc fucntions, Adomian decomposition, computational, Haar wavelet and direct methods to demonstrate the validity and applicability of the proposed method.http://jlta.iauctb.ac.ir/article_530220_b5806589bc793ef8a1c29b7f681518e6.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060120170301Unique common coupled fixed point theorem for four maps in $S_b$-metric spaces2943530217ENK. P. R. RaoDepartment of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar,
Guntur-522 510, Andhra Pradesh, IndiaG. V. N. KishoreDepartment of Mathematics, K L University, Vaddeswaram, Guntur-522 502,
Andhra Pradesh, IndiaSk. SadikDepartment of Mathematics, Sir C R R College of Engineering, Eluru,
West Godavari-534 007, Andhra Pradesh, IndiaJournal Article20170202In 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.http://jlta.iauctb.ac.ir/article_530217_54695cc3c57d07c6a55288deb5e2347a.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060120170301Coupled fixed point theorems involving contractive condition of integral type in generalized metric spaces4553530218ENR. ShahDepartment of Mathematics, University of Peshawar, Peshawar, PakistanA. ZadaDepartment of Mathematics, University of Peshawar, Peshawar, PakistanJournal Article20161225In 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 two pairs of self mappings satisfying contractive conditions of integral type in generalized metric spaces. We furnish suitable illustrative examples.http://jlta.iauctb.ac.ir/article_530218_759caf33a4b08455a2a95e5a421a0c49.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060120170301Characterization of $delta$-double derivations on rings and algebras5565530219ENA. HosseiniDepartment of Mathematics, Kashmar Higher Education Institute, Kashmar, IranJournal Article20161112The 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:<br />Let $n > 1$ be an integer and let $mathcal{R}$ be an $n!$-torsion free ring with the identity element $1$. Suppose that there exist two additive mappings $d,delta:Rto R$ such that $$d(x^n) =Sigma^n_{j=1} x^{n-j}d(x)x^{j-1}+Sigma^{n-2}_{k=0} Sigma^{n-2-k}_{i=0} x^kdelta(x)x^idelta(x)x^{n-2-k-i}$$ is fulfilled for all $xin mathcal{R}$. If $delta(1) = 0$, then $d$ is a Jordan $delta$-double derivation. In particular, if $mathcal{R}$ is a semiprime algebra and further, $delta^2(x^2) = delta^2(x)x + xdelta^2(x) + 2(delta(x))^2$ holds for all $xin mathcal{R}$, then $d-frac{1}{2}delta^2$ is an ordinary derivation on $mathcal{R}$.http://jlta.iauctb.ac.ir/article_530219_060ffd6f8fdb6be2b26f37f261c10c73.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060120170301Computational aspect to the nearest southeast submatrix that makes multiple a prescribed eigenvalue6772530216ENA. NazariDepartment of Mathematics, Arak University,
P.O. Box 38156-8-8349, Arak, IranA. NezamiDepartment of Mathematics, Arak University,
P.O. Box 38156-8-8349, Arak, IranJournal Article20161101<span>Given four complex matrices $A$, $B$, $C$ and $D$ where $Ainmathbb{C}^{ntimes n}$ </span><span>and $Dinmathbb{C}^{mtimes m}$ and let the matrix $left(begin{array}{cc} </span><span>A & B </span><span>C & D </span><span>end{array} right)$ be a normal matrix and </span><span>assume that $lambda$ is a given complex number </span><span>that is not eigenvalue of matrix $A$. </span><span>We present a method to calculate the distance norm (with respect to 2-norm) from $D$ </span><span>to the set of matrices $X in C^{m times m}$ such that, $lambda$ be a multiple </span><span>eigenvalue of matrix $left(begin{array}{cc} </span><span>A & B </span><span>C & X </span><span>end{array} right)$. We </span><span>also find the nearest matrix $X$ to the matrix $D$.</span>http://jlta.iauctb.ac.ir/article_530216_cbb677d2395447e0a7770ad0672a7b3b.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060120170301New best proximity point results in G-metric space7389530221ENA. H. AnsariDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranA. RazaniDepartment of Mathematics, Faculty of Science, Imam Khomeini
International University, postal code: 34149-16818, Qazvin, IranN. HussainDepartment of Mathematics, King Abdulaziz University,
P.O. Box 80203, Jeddah 21589, Saudi ArabiaJournal Article20161207Best 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 convex topological vector space $E$ and $T:Krightarrow E$ is a continuous mapping, then there exists an element $x$ satisfying the condition $d(x,Tx)=inf {d(y,Tx):yin K}$, where $d$ is a metric on $E$. Recently, Hussain et al. (Abstract and Applied Analysis, Vol. 2014, Article ID 837943) introduced proximal contractive mappings and established certain best proximity point results for these mappings in $G$-metric spaces. The aim of this paper is to introduce certain new classes of auxiliary functions and proximal contraction mappings and establish best proximity point theorems for such kind of mappings in $G$-metric spaces. As consequences of these results, we deduce certain new best proximity and fixed point results in $G$-metric spaces. Moreover, we present certain examples to illustrate the usability of the obtained results.http://jlta.iauctb.ac.ir/article_530221_9fd2d17d3a16fbabe8642315db047b3a.pdf