2014
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Some fixed point theorems and common fixed point theorem in logconvex structure
2
2
Some fixed point theorems and common fixed point theorem in Logarithmic convex structure areproved.
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1
6


A.R.
Moazzen
Department of Mathematics , Velayat University, Iranshahr, Iran.
Department of Mathematics , Velayat University,
Iran
logconvex structure
Nearly higher ternary derivations in Banach ternary algebras :An alternative fixed point approach
2
2
We say a functional equation () is stable if any function g satisfying the equation () approximatelyis near to true solution of (). Using xed point methods, we investigate approximately higherternary derivations in Banach ternary algebras via the Cauchy functional equationf(1x + 2y + 3z) = 1f(x) + 2f(y) + 3f(z) :
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7
15


S.A.R.
Hosseinioun
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA.
Department of Mathematical Sciences, University
Iran


R.
Farrokhzad
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
Department of Mathematics, Shahid Beheshti
Iran


M.
Eshaghi
Department of Mathematics, Semnan University, P. O. Box 35195363, Semnan, Iran.
Department of Mathematics, Semnan University,
Iran
higher ternary derivations
On lambda^2asymptotically double statistical equivalent sequences
2
2
This paper presents the following new denition which is a natural combination of the denition forasymptotically double equivalent, double statistically limit and double 2 sequences. The doublesequence 2 = (m;n) of positive real numbers tending to innity such thatm+1;n m;n + 1; m;n+1 m;n + 1;m;n m+1;n m;n+1 m+1;n+1; 1;1 = 1;andIm;n = f(k; l) : m m;n + 1 k m; n m;n + 1 l ng :For double 2sequence; the two nonnegative sequences x = (xk;l) and y = (yk;l) are said to be2asymptotically double statistical equivalent of multiple L provided that for every " > 0P limm;n1m;n(k; l) 2 Im;n :xk;lyk;l L "= 0(denoted by xSL2 v y) and simply 2asymptotically double statistical equivalent if L = 1.
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16
21


A.
Esi
Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey.
Adiyaman University, Science and Art Faculty,
Iran


M.
Acikgoz
Gaziantep University, Science and Art Faculty, Department of Mathematics, 27200, Gaziantep,Turkey.
Gaziantep University, Science and Art Faculty,
Iran
New results for fractional evolution equations using Banach fixed point theorem
2
2
In this paper, we study the existence of solutions for fractional evolution equations with nonlocalconditions. These results are obtained using Banach contraction xed point theorem. Other resultsare also presented using Krasnoselskii theorem.
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22
30


Z.
Dahmani
LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria
LPAM, Faculty of SEI, UMAB, University of
Iran


S.
Belarbi
Faculty of Mathematics, USTHB of Algiers, Algeria.
Faculty of Mathematics, USTHB of Algiers,
Iran
On invariant sets topology
2
2
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 ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For instance, we find the conditions on f to show that whenever f is T0, T1 or T2.
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31
36


M.
Eshaghi Gordji
Department of Mathematics, Semnan University, P.O.Box. 35195363, Semnan, Iran.
Department of Mathematics, Semnan University,
Iran


M.
Rostamian Delavar
Young Researchers Club, Semnan Branch, Islamic Azad University, Semnan, Iran.
Young Researchers Club, Semnan Branch, Islamic
Iran
Topological spaces
Separation axioms
fixed point theorems
Weights in block iterative methods
2
2
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 sequencegenerated by the given algorithms converges to a feasible point. Additionally for linear feasibilityproblems, we give equivalency of our algorithms with sequential and simultaneous block Kaczmarzmethods 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 inconsistentlinear system of equations.
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37
49


T.
Nikazad
Department of Mathematics, Iran University of Science and Technology, Tehran 1684613114, Iran.
Department of Mathematics, Iran University
Iran


M.
Abbasi
Department of Mathematics, Iran University of Science and Technology, Tehran 1684613114, Iran.
Department of Mathematics, Iran University
Iran
Fixed points for Banach and Kannan contractions in modular spaces with a graph
2
2
In this paper, we discuss the existence and uniqueness of xed points for Banach and Kannancontractions dened on modular spaces endowed with a graph. We do not impose the Δ2conditionor the Fatou property on the modular spaces to give generalizations of some recent results. Thegiven results play as a modular version of metric xed point results.
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50
59


A.
Aghanians
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 163151618, Tehran, Iran.
Faculty of Mathematics, K. N. Toosi University
Iran


K.
Nourouzi
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 163151618, Tehran, Iran.
Faculty of Mathematics, K. N. Toosi University
Iran
Sharing several secrets based on Lagrange's interpolation formula and Cipher feedback mode
2
2
In a multisecret sharing scheme, several secret values are distributed among a set of n participants.In 2000 Chien et al.'s proposed a (t; n) multisecret sharing scheme. Many storages and publicvalues required in Chien's scheme. Motivated by these concerns, some new (t; n) multisecret sharingschemes are proposed in this paper based on the Lagrange interpolation formula for polynomials andcipher feedback mode (CFB), which are easier than Chien's scheme in the secret reconstruction andrequire fewer number of public values and storages than Chien's scheme. Also our schemes don'tneed any oneway function and any simultaneous equations.
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60
66


A.
Cheraghi
Faculty of Mathematics & Computer, Khansar, University of Isfahan, Isfahan, Iran.
Faculty of Mathematics & Computer, Khansar,
Iran
An equivalent representation for weighted supremum norm on the upper halfplane
2
2
In this paper, rstly, 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 forthe lines in upper halfplane. Finally, for an increasing weight on the upper halfplane withcertain properties and holomorphic functions f on the upper halfplane we obtain an equivalentrepresentation for weighted supremum norm.
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67
79


M.A.
Ardalani
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177175
Sanandaj, Iran.
Department of Mathematics, Faculty of Science,
Iran
New results on the quasicommuting inverses
2
2
A matrix has an ordinary inverse only if it is square, and even then only if it is nonsingular or, inother words, if its columns (or rows) are linearly independent. In recent years needs have been felt innumerous areas of applied mathematics for some kind of partial inverse of a matrix that is singularor even rectangular. In this paper, some results on the Quasicommuting inverses, are given andthe eect of them in solving the case of linear system of equations where the coecient matrix is asingular matrix, is illustrated.
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80
85


M.
Nikuie
aYoung Researchers and Elite Club, Islamic Azad University, Tabriz Branch, Tabriz, IRAN.
aYoung Researchers and Elite Club, Islamic
Iran


A.
Zohri
Payame Noor University, IRAN.
Payame Noor University, IRAN.
Iran


M.K.
Mirnia
Department of Computer Sinence, Islamic Azad University, Tabriz Branch, Tabriz, IRAN.
Department of Computer Sinence, Islamic Azad
Iran
Generalization of Darbo's fixed point theorem and application
2
2
In this paper, an attempt is made to present an extension of Darbo's theorem, and its applicationto study the solvability of a functional integral equation of Volterra type.
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86
95


A.
Aghajani
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran.
School of Mathematics, Iran University of
Iran


M.
Aliaskari
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran.
School of Mathematics, Iran University of
Iran
BhaskarLakshmikantham type results for monotone mappings in partially ordered metric spaces
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2
In this paper, coupled xed point results of BhaskarLakshmikantham type [T. Gnana Bhaskar, V.Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, NonlinearAnalysis 65 (2006) 13791393] are extend, generalized, unify and improved by using monotonemappings instead mappings with mixed monotone property. Also, an example is given to supportthese improvements.
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96
103


S.
Radenovic
University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11 120 Beograd, Serbia.
University of Belgrade, Faculty of Mechanical
Iran
Coincident point and fixed point results for three self mappings in cone metric spaces
2
2
In this attempt we proved results on points of coincidence and common xed points for three selfmappings satisfying generalized contractive type conditions in cone metric spaces. Our results generalizes some previous known results in the literature (eg. [5], [6])
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104
110


A.K.
Dubey
aDepartment of Mathematics, Bhilai Institute of Technology, Bhilai House, Durg (Chhattisgarh), India
aDepartment of Mathematics, Bhilai Institute
Iran


U.
Mishra
Department of Mathematics, Vishwavidyalaya Engineering College, LakhanpurAmbikapur (Chhattisgarh), India.
Department of Mathematics, Vishwavidyalaya
Iran
On approximate dectic mappings in nonArchimedean spaces: A fixed point approach
2
2
In this paper, we investigate the HyersUlam stability for the system of additive, quadratic, cubicand quartic functional equations with constants coecients in the sense of dectic mappings in nonArchimedean normed spaces.
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111
122


A.
Ebadian
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
Department of Mathematics, Urmia University,
Iran


R.
Aghalary
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
Department of Mathematics, Urmia University,
Iran


M.A.
Abolfathi
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
Department of Mathematics, Urmia University,
Iran
Multilinear forms which are products of linear forms
2
2
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 2nfunctionals in a group G.
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123
129


A.
Pappas
Civil Engineering Department, School of Technological Applications, Technological Educational Institution (TEI) of
Piraeus, GR 11244, Egaleo, Athens, Greece.
Civil Engineering Department, School of Technologi
Iran