IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.120 Research Paper Some fixed point theorems and common fixed point theorem in log-convex structure Some fixed point theorems and common fixed point theorem Moazzen A.R. Department of Mathematics , Velayat University, Iranshahr, Iran. 01 07 2014 5 2 1 6 20 02 2014 20 02 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_120.html

Some fixed point theorems and common fixed point theorem in Logarithmic convex structure are proved.

log Convex structure
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.121 Research Paper Nearly higher ternary derivations in Banach ternary algebras: An alternative fixed point approach Nearly higher ternary derivations in Banach ternary algebras Hosseinioun S.A.R. Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA Farrokhzad R. Department of Mathematics, Shahid Beheshti University, Tehran, Iran. Eshaghi M. Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran. 01 07 2014 5 2 7 15 20 02 2014 20 02 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_121.html

We say a functional equation \$(xi)\$ is stable if any function \$g\$ satisfying the equation \$(xi)\$ approximately is near to true solution of \$(xi)\$. Using fixed point methods, we investigate approximately higher ternary derivations in Banach ternary algebras via the Cauchy functional equation\$\$f(lambda_1x + lambda_2y + lambda_3z) = lambda_1f(x) + lambda_2f(y) + lambda_3f(z).\$\$

Alternative fixed point HyersUlamRassias stability ternary algebra ternary derivation
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.122 unavailable On \$lambda^2\$-asymptotically double statistical equivalent sequences Esi A. Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey Acikgoz M. Gaziantep University, Science and Art Faculty, Department of Mathematics, 27200, Gaziantep,Turkey 01 07 2014 5 2 16 21 23 02 2014 23 02 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_122.html

This paper presents the following new definition which is a natural combination of the definition for asymptotically double equivalent, double statistically limit and double \$lambda^2\$-sequences. The double sequence \$lambda^2 = (lambda_{m,n})\$ of positive real numbers tending to infinity such that\$\$lambda_{m+1,n}leqlambda_{m,n} + 1,  lambda_{m,n+1}leqlambda{m,n} + 1,\$\$\$\$lambda_{m,n} -lambda_{m+1,n }leqlambda_{m,n+1}lambda_{m+1,n+1},  lambda_{1,1} = 1,\$\$and\$\$I_{m,n}={(k,l) : m -lambda_{m,n }+ 1 leq k leq m,   n -lambda_{m,n} + 1 leq l leq n.\$\$For double \$lambda^2\$-sequence; the two non-negative sequences \$x = (x_{k,l})\$ and \$y = (y_{k,l})\$ are said to be\$lambda^2\$-asymptotically double statistical equivalent of multiple \$L\$ provided that for every \$varepsilon> 0\$\$\$P - lim_{m,n}frac{1}{lambda_{m,n}}|{(k,l)in I_{m,n}:|frac{x_{k,l}}{y_{k,l}}-Lgeqvarepsilon}|=0\$\$(denoted by \$xsim^{S_{lambda^2}^L } y\$) and simply \$lambda^2\$-asymptotically double statistical equivalent if \$L = 1\$.

Pringsheim Limit Point P-convergent double statistical convergence
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.123 unavailable New results for fractional evolution equations using Banach fixed point theorem Dahmani Z. LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria Belarbi S. Faculty of Mathematics, USTHB of Algiers, Algeria 01 07 2014 5 2 22 30 23 02 2014 23 02 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_123.html

In this paper, we study the existence of solutions for fractional evolution equations with nonlocal conditions. These results are obtained using Banach contraction fixed point theorem. Other results are also presented using Krasnoselskii theorem.

Caputo derivative Fixed point theorem Differential equation
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.124 unavailable On invariant sets topology Eshaghi Gordji M. Department of Mathematics, Semnan University, P.O.Box. 35195-363, Semnan, Iran. Rostamian Delavar M. Young Researchers Club, Semnan Branch, Islamic Azad University, Semnan, Iran. 01 07 2014 5 2 31 36 23 02 2014 23 02 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_124.html

In this paper, we introduce and study a new topology related to a self mapping on a nonempty set. Let \$X\$ be a nonempty set and let \$f\$ be a self mapping on \$X\$. Then the set of all invariant subsets of \$X\$ related to \$f\$, i.e. \$tau_f := {Asubseteq X : f(A)subseteq  A}subseteq mathcal{P}(X)\$ is a topology on \$X\$. Among other things, we find the smallest open sets contains a point \$xin X\$. Moreover, we find the relations between \$f\$ and \$tau_f\$ . For instance, we find the conditions on \$f\$ to show that whenever \$tau_f\$ is \$T_0, T_1\$ or \$T_2\$.

Topological spaces Separation axioms fixed point theorems
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.125 unavailable Weights in block iterative methods Nikazad T. Department of Mathematics, Iran University of Science and Technology, Tehran 16846-13114, Iran. Abbasi M. Department of Mathematics, Iran University of Science and Technology, Tehran 16846-13114, Iran. 01 07 2014 5 2 37 49 16 03 2014 16 03 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_125.html

In this paper we introduce a sequential block iterative method and its simultaneous version with optimal combination of weights (instead of convex combination) for solving convex feasibility problems. When the intersection of the given family of convex sets is nonempty, it is shown that any sequence generated by the given algorithms converges to a feasible point. Additionally for linear feasibility problems, we give equivalency of our algorithms with sequential and simultaneous block Kaczmarz methods explaining the optimal weights have been inherently used in Kaczmarz methods. In addition, a convergence result is presented for simultaneous block Kaczmarz for the case of inconsistent linear system of equations.

block iterative methods convex feasibility problem Kaczmarz's method
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.126 unavailable Fixed points for Banach and Kannan contractions in modular spaces with a graph Aghanians A. Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran. Nourouzi K. Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran. 01 07 2014 5 2 50 59 21 08 2013 21 03 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_126.html

In this paper, we discuss the existence and uniqueness of fixed points for Banach and Kannan contractions defined on modular spaces endowed with a graph. We do not impose the \$Delta_2\$-condition or the Fatou property on the modular spaces to give generalizations of some recent results. The given results play as a modular version of metric fixed point results.

Complete modular space Fixed point Banach contraction Kannan contraction
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.127 unavailable Sharing several secrets based on Lagrange's interpolation formula and Cipher feedback mode Cheraghi A. Faculty of Mathematics & Computer, Khansar, University of Isfahan, Isfahan, Iran. 01 07 2014 5 2 60 66 23 03 2014 23 03 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_127.html

In a multi-secret sharing scheme, several secret values are distributed among a set of n participants. In 2000 Chien et al.'s proposed a \$(t, n)\$ multi-secret sharing scheme. Many storages and public values required in Chien's scheme. Motivated by these concerns, some new \$(t, n)\$ multi-secret sharing schemes are proposed in this paper based on the Lagrange interpolation formula for polynomials and cipher feedback mode (CFB), which are easier than Chien's scheme in the secret reconstruction and require fewer number of public values and storages than Chien's scheme. Also our schemes don't need any one-way function and any simultaneous equations.

Multi-secret sharing Lagrange interpolation Cipher feedback mode
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.128 unavailable An equivalent representation for weighted supremum norm on the upper half-plane Ardalani M.A. Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177-175 Sanandaj, Iran. 01 07 2014 5 2 67 79 17 04 2014 17 04 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_128.html

In this paper, firstly, we obtain some inequalities which estimates complex polynomials on the circles. Then, we use these estimates and a Moebius transformation to obtain the dual of this estimates for the lines in upper half-plane. Finally, for an increasing weight \$v\$ on the upper half-plane with certain properties and holomorphic functions f on the upper half-plane we obtain an equivalent representation for weighted supremum norm.

weighted spaces holomorphic functions de-la-Valle Poussion kernel upper half-plane
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.129 unavailable New results on the quasi-commuting inverses Nikuie M. aYoung Researchers and Elite Club, Islamic Azad University, Tabriz Branch, Tabriz, IRAN. Zohri A. Payame Noor University, IRAN. Mirnia M.K. Department of Computer Sinence, Islamic Azad University, Tabriz Branch, Tabriz, IRAN. 01 07 2014 5 2 80 85 17 04 2014 17 04 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_129.html

A matrix has an ordinary inverse only if it is square, and even then only if it is nonsingular or, in other words, if its columns (or rows) are linearly independent. In recent years needs have been felt in numerous areas of applied mathematics for some kind of partial inverse of a matrix that is singular or even rectangular. In this paper, some results on the Quasi-commuting inverses, are given and the effect of them in solving the case of linear system of equations where the coefficient matrix is a singular matrix, is illustrated.

Index of matrix Generalized inverse Singular linear system Quasi-commuting inverses
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.140 unavailable Generalization of Darbo's fixed point theorem and application Aghajani A. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran. Aliaskari M. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran. 01 07 2014 5 2 86 95 29 04 2014 29 04 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_140.html

In this paper, an attempt is made to present an extension of Darbo's theorem, and its application to study the solvability of a functional integral equation of Volterra type.

Fixed point theorem Measure of noncompactness Darbo’s fixed point theorem
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.141 unavailable Bhaskar-Lakshmikantham type results for monotone mappings in partially ordered metric spaces Radenovic S. Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia 01 07 2014 5 2 96 103 29 04 2014 29 04 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_141.html

In this paper, coupled fixed point results of Bhaskar-Lakshmikantham type [T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis 65 (2006) 1379-1393] are extend, generalized, unify and improved by using monotone mappings instead mappings with mixed monotone property. Also, an example is given to support these improvements.

Coupled fixed point uniqueness of the coupled fixed point monotone mappings partially ordered set
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.142 unavailable Coincident point and fixed point results for three self mappings in cone metric spaces Dubey A.K. Department of Mathematics, Bhilai Institute of Technology, Bhilai House, Durg (Chhattisgarh), India Mishra U. Department of Mathematics, Vishwavidyalaya Engineering College, Lakhanpur-Ambikapur (Chhattisgarh), India 01 07 2014 5 2 104 110 29 04 2014 29 04 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_142.html

In this attempt we proved results on points of coincidence and common fixed points for three self mappings satisfying generalized contractive type conditions in cone metric spaces. Our results generalizes some previous known results in the literature (eg. , )

IT-Commuting Maps Cone Metric Spaces Coincident Point Common fixed point
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.143 unavailable On approximate dectic mappings in non-Archimedean spaces: A fixed point approach Ebadian A. Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran. Aghalary R. Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran. Abolfathi M.A. Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran. 01 07 2014 5 2 111 122 29 04 2014 29 04 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_143.html

In this paper, we investigate the Hyers-Ulam stability for the system of additive, quadratic, cubic and quartic functional equations with constants coefficients in the sense of dectic mappings in non-Archimedean normed spaces.

Hyers-Ulam stability non-Archimedean normed space dectic functional equation Fixed point method
IJNAA Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 Semnan University 4 10.22075/ijnaa.2014.144 unavailable Multilinear forms which are products of linear forms Pappas A. Civil Engineering Department, School of Technological Applications, Technological Educational Institution (TEI) of Piraeus, GR 11244, Egaleo, Athens, Greece 01 07 2014 5 2 123 129 29 04 2014 29 04 2014 Copyright © 2014, Semnan University. 2014 https://ijnaa.semnan.ac.ir/article_144.html

The conditions under which, multilinear forms (the symmetric case and the non symmetric case), can be written as a product of linear forms, are considered. Also, we generalize a result due to S. Kurepa for 2n-functionals in a group G.

Multilinear forms Symmetric m-linear form Quartic functional Hermitian form homogeneous polynomial