ORIGINAL_ARTICLE JENSEN’S INEQUALITY FOR GG-CONVEX FUNCTIONS In this paper, we obtain Jensen’s inequality for GG-convex functions. Also, we get in- equalities alike to Hermite-Hadamard inequality for GG-convex functions. Some examples are given. https://ijnaa.semnan.ac.ir/article_3725_6495b5167432572a458ef98bec36e414.pdf 2019-11-01 1 7 10.22075/ijnaa.2017.11330.1555 Jensen’s inequality GG-convex Integral inequality Gholamreza Zabandan zabandan@khu.ac.ir 1 Kharazmi university LEAD_AUTHOR
ORIGINAL_ARTICLE Analysis of disassembled executable codes by abstract interpretation The aim of this paper is to de ne the abstract domain, abstract operator, abstract semantic, the environments and states of disassembled executable codes as well as a way to analysis the disassembled executable codes. Nowadays, static analysis on disassembled code going to grow. Reverse engineering and malware analysis use this technique. Thus, we tried to perform pluralization the requirements of static analysis by abstract interpretation as well as report some speci c and advantage note in this paper. In addition, we present an algorithm to obtain the control ow graph of disassembled code. https://ijnaa.semnan.ac.ir/article_4048_2f0bf098430d4aac72901e31b2747c69.pdf 2019-11-01 9 13 10.22075/ijnaa.2019.4048 Static analysis Abstract domain Abstract operator Abstract semantic Environment and state of abstract interpretation mohammad hadi alaeiyan hadi_alaeiyan@comp.iust.ac.ir 1 Iran University of Science and Technology, Narmak, Tehran, 16844, Iran LEAD_AUTHOR
ORIGINAL_ARTICLE Optimally Local Dense Conditions for the Existence of Solutions for Vector Equilibrium Problems In this paper, by using C-sequentially sign property for bifunctions, we provide sufficient conditions that ensure the existence of solutions of some vector equilibrium problems in Hausdorff topological vector spaces which ordered by a cone. The conditions which we consider are not imposed on the whole domain of the operators involved, but just on a locally segment-dense subset of the domain. https://ijnaa.semnan.ac.ir/article_3549_600ab53f65a28aea0c8c5b5f237a6de8.pdf 2019-11-01 15 26 10.22075/ijnaa.2019.16783.1893 locally segment-dense set vector equilibrium problem C-sequentially sign property Sirous Moradi sirousmoradi@gmail.com 1 Arak University LEAD_AUTHOR Maryam Shokouhnia shokoohniam63@yahoo.com 2 Department of Mathematics, Faculty of Science, Arak University, Arak, Iran AUTHOR Somaye Jafari s.jafari.math@gmail.com 3 Department of Mathematics, Arak University, Arak, Iran AUTHOR
ORIGINAL_ARTICLE Entropy of infinite systems and transformations The Kolmogorov-Sinai entropy is a far reaching dynamical generalization of Shannon entropy of information systems. This entropy works perfectly for probability measure preserving (p.m.p.) transformations. However, it is not useful when there is no finite invariant measure. There are certain successful extensions of the notion of entropy to infinite measure spaces, or transformations with infinite invariant measures. The three main extensions are Parry, Krengel, and Poisson entropies. In this survey, we shortly overview the history of entropy, discuss the pioneering notions of Shannon and later contributions of Kolmogorov and Sinai, and discuss in somewhat more details the extensions to infinite systems. We compare and contrast these entropies with each other and with the entropy on finite systems. https://ijnaa.semnan.ac.ir/article_4050_8ffa4224508e953e9acfb96439027198.pdf 2019-11-01 27 33 10.22075/ijnaa.2019.17400.1931 Infinite invariant measure Kolmogorov-Sinai entropy Parry entropy Krengel entropy Poisson entropy Pinsker factor Massoud Amini mamini@modares.ac.ir 1 Department of Mathematics Tarbiat Modares University Tehran, Iran LEAD_AUTHOR
ORIGINAL_ARTICLE Solving a nonlinear inverse system of Burgers equations By applying finite difference formula to time discretization and the cubic B-splines for spatial variable, a numerical method for solving the inverse system of Burgers equations is presented. Also, the convergence analysis and stability for this problem are investigated and the order of convergence is obtained. By using two test problems, the accuracy of presented method is verified. Additionally, obtained numerical results of the cubic B-spline method are compared to trigonometric cubic B-spline method, exponential cubic B-spline method and radial basis function method. Implementation simplicity and less computational cost are the main advantages of proposed scheme compared to previous proposals. https://ijnaa.semnan.ac.ir/article_4051_fa12b05921b7c3b29c6bbf2534ee5565.pdf 2019-11-01 35 54 10.22075/ijnaa.2019.11008.1537 System of Burgers equations Cubic B-spline Collocation method Inverse problems Convergence analysis Stability analysis Tikhonov regularization method Ill-posed problems Noisy data Hamed Zeidabadi h.zeidabadi@std.du.ac.ir 1 School of Mathematics and Computer Science, Damghan University, P.O.Box 36715-364, Damghan, Iran. AUTHOR Reza Pourgholi pourgholi@du.ac.ir 2 School of Mathematics and Computer Science, Damghan University, P.O.Box 36715-364, Damghan, Iran. AUTHOR Seyyed Hashem Tabasi tabasi@du.ac.ir 3 School of mathematics and computer sienceses, Damghan University, Semnan, Iran. LEAD_AUTHOR
ORIGINAL_ARTICLE Completely Continuous Banach Algebras For a Banach algebra $\fA$, we introduce ~$c.c(\fA)$, the set of all $\phi\in \fA^*$ such that $\theta_\phi:\fA\to \fA^*$ is a completely continuous operator, where $\theta_\phi$ is defined by $\theta_\phi(a)=a\cdot\phi$~~ for all $a\in \fA$. We call $\fA$, a completely continuous Banach algebra if $c.c(\fA)=\fA^*$. We give some examples of completely continuous Banach algebras and a sufficient condition for an open problem raised for the first time by J.E Gal\`{e}, T.J. Ransford and M. C. White: Is there exist an infinite dimensional amenable Banach algebra whose underlying Banach space is reflexive? We prove that a reflexive, amenable, completely continuous Banach algebra with the approximation property is trivial. https://ijnaa.semnan.ac.ir/article_4052_98d6bd83d5d5695668206e7b12bb7f92.pdf 2019-11-01 55 62 10.22075/ijnaa.2019.1184.1268 Amenability Completely continuous Banach algebra Bahman Hayati hayati@malayeru.ac.ir 1 Malayer University LEAD_AUTHOR
ORIGINAL_ARTICLE Solvability of infinite system of nonlinear singular integral equations in the C(I\times‎ I‎, ‎c) space and modified semi-analytic method to find a closed-form of solution ‎In this article‎, ‎we discuss about solvability of infinite systems of singular integral equations with two variables in the Banach sequence space $C(I \times I‎, ‎c)$ by applying measure of noncompactness‎ and Meir-Keeler condensing operators‎. By presenting an example, we have illustrated our results‎. ‎For validity of the results we introduce a modified semi-analytic method in the case of two variables to make an iteration algorithm to find a closed-form of solution for the above problem‎. ‎The numerical results show that the produced sequence for approximating the solution of example is in the $c$ space with a high accuracy‎. https://ijnaa.semnan.ac.ir/article_4053_f0d83ce21ced64ebc87901f2504b2f55.pdf 2019-11-01 63 76 10.22075/ijnaa.2019.16525.1875 Measure of noncompactness Infinite systems of singular integral equations Meir-Keeler condensing operators Fixed point theorem Modified homotopy perturbation‎ Anupam Das anupam.das@di.ku.dk 1 Department of Mathematics&lrm;, &lrm;Rajiv Gandhi University&lrm;, &lrm;Rono Hills&lrm;, &lrm;Arunachal Pradesh&lrm;, &lrm;India AUTHOR Mohsen Rabbani mrabbani@iausari.ac.ir 2 Islamic Azad University,Iran LEAD_AUTHOR Bipan Hazarika bh_rgu@yahoo.co.in 3 Department of Mathematics&lrm;, &lrm;Gauhati University&lrm;, &lrm;Guwahati-781014&lrm;, &lrm;Assam&lrm;, &lrm;India AUTHOR Reza Arab mathreza.arab@gmail.com 4 Department of Mathematics&lrm;, &lrm;Islamic Azad University,Iran AUTHOR
ORIGINAL_ARTICLE COUPLED FIXED POINT THEOREMS FOR RATIONAL TYPE CONTRACTIONS VIA C-CLASS FUNCTIONS In this paper, by using C-class functions, we will present a coupled xed problem in b-metric space for the single-valued operators satisfying a generalized contraction condition. First part of the paper is related to some xed point theorems, the second part presents the uniqueness and existence for the solution of the coupled xed point problem and in the third part we discuss data dependence, well-posedness, Ulam-Hyers stability and limit shadowing property of the coupled xed point set. https://ijnaa.semnan.ac.ir/article_4054_283349094c7b0d3ea2014e1c94994c7b.pdf 2019-11-01 77 98 10.22075/ijnaa.2018.11820.1591 Fixed point ordered metric space rational type contraction coupled xed point data dependence well-posedness Ulam-Hyers stability limit shadowing property Arslan Hojat Ansari analsisamirmath2@gmail.com 1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran LEAD_AUTHOR BAHMAN MOEINI moeini145523@gmail.com 2 Department of Mathematics, Hidaj Branch, Islamic Azad University, Hidaj, Iran AUTHOR isa YILDIRIM isayildirim@atauni.edu.tr 3 Department of Mathematics, Faculty of Science, Ataturk University, 25240 Erzurum, Turkey. AUTHOR anca MARIA OPREA4 anca.oprea@math.ubbcluj.ro 4 Babe s-Bolyai University, Faculty of Mathematics and Computer Sciences, 400084 Cluj-Napoca, Romania AUTHOR
ORIGINAL_ARTICLE Nash Equilibrium Strategy for Bi-matrix Games with L-R Fuzzy Payoffs In this paper, bi-matrix games are investigated based on L-R fuzzy variables. Also, based on the fuzzy max order several models in non-symmetrical L-R fuzzy environment is constructed and the existence condition of Nash equilibrium strategies of the fuzzy bi-matrix games is proposed. At last, based on the Nash equilibrium of crisp parametric bi-matrix games, we obtain the Pareto and weak Pareto Nash equilibrium strategies of the fuzzy bi-matrix games. https://ijnaa.semnan.ac.ir/article_4055_8ed4b87793f9dc8aa68d20d0f30da122.pdf 2019-11-01 99 109 10.22075/ijnaa.2018.13073.1674 Bi-matrix game Nash equilibrium L-R fuzzy variable Fatemeh Madandar fatemeh.madandar@kiau.ac.ir 1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran AUTHOR Somayeh Haghayeghi s.haghayeghi@kiau.ac.ir 2 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran LEAD_AUTHOR S.Mansour Vaezpour vaez@aut.ac.ir 3 Amirkabir University of Technology (Tehran Polytechnic) AUTHOR
ORIGINAL_ARTICLE Fixed point theorems for new J-type mappings in modular spaces In this paper, we introduce $\rho$-altering $J$-type mappings in modular spaces. We prove some fixed point theorems for $\rho$-altering and $\rho$-altering $J$-type mappings in modular spaces. We also furnish illustrative examples to express relationship between these mappings. As a consequence, the results are applied to the existence of solution of an integral equation arising from an ODE system. https://ijnaa.semnan.ac.ir/article_4056_3d32ca72a3d313a00aa8b96543758683.pdf 2019-11-01 111 118 10.22075/ijnaa.2019.1816.1475 Modular space $rho$-Altering mapping $rho$-Asymptotically regular mapping $rho$-$J$-type mapping $rho$-altering $J$-type mapping Integral equation Esmaiel Feizi efeizi1@gmail.com 1 University of Buali Sina LEAD_AUTHOR Zahra Hossseini z.hoseini@basu.ac.ir 2 Bu-Ali Sina University AUTHOR
ORIGINAL_ARTICLE Periodic Wave Shock solutions of Burgers equations In this paper we investigate the exact peroidic wave shock solutions of the Burgers equations. Our purpose is to describe the asymptotic behavior of the solution in the cauchy problem for viscid equation with small parametr ε and to discuss in particular the case of periodic wave shock. We show that the solution of this problem approaches the shock type solution for the cauchy problem of the inviscid burgers equation. The results are formulated in classical mathematics and proved with infinitesimal techniques of non standard analysis. https://ijnaa.semnan.ac.ir/article_4057_49e099cb1ae39d820ee91104b59d3f1a.pdf 2019-11-01 119 129 10.22075/ijnaa.2018.10791.1524 Non Standard Analysis Boundary Problem Viscid Burgers Equation Inviscid Burgers Equation Heat Equation. Peroidic wave shock Saida Bendaas saida_bendaas@yahoo.fr 1 University of setif LEAD_AUTHOR
ORIGINAL_ARTICLE ON SOFT ULTRAFILTERS In this paper, the concept of soft ultrafilters is introduced and some of the related structures such as soft Stone-Cech compactification, principal soft ultrafilters and basis for its topology are studied. https://ijnaa.semnan.ac.ir/article_4058_8b868059554bccbd18e97696b2d76efb.pdf 2019-11-01 131 138 10.22075/ijnaa.2017.12670.1645 Stone-Cech compactification ultrafilter soft set Alireza Bagheri Salec alireza_bagheri_salec@yahoo.com 1 Qom university LEAD_AUTHOR
ORIGINAL_ARTICLE Hermitian solutions to the system of operator equations T_iX=U_i. In this article we consider the system of operator equations T_iX=U_i for i=1,2,...,n and give necessary and suffcient conditions for the existence of common Hermitian solutions to this system of operator equations for arbitrary operators without the closedness condition. Also we study the Moore-penrose inverse of a ncross 1 block operator matrix and. then give the general form of common Hermitian solutions to this system of equations. Cosequently, we give the necessary and sffcient conditions for the existence of common Hermitian solutions to the system of operator equati and also present the necessary conditions for solvability of the equation sum_{i=1}{n}T_iX_i=U https://ijnaa.semnan.ac.ir/article_4059_01638be695de3fa1c98b915e397bc3bf.pdf 2019-11-01 139 152 10.22075/ijnaa.2017.1475.1378 Operator equation Hermitian solution Common solution Existence of solution Moore penrose inverse S.Mansour Vaezpour vaez@aut.ac.ir 1 Amirkabir University of Technology (Tehran Polytechnic) LEAD_AUTHOR Zahra Bakhtiari za_bakhtiari@yahoo.com 2 Department of Mathematics, Payam e Nour University, Tehran, Iran AUTHOR