2014
5
2
2
0
1

Some fixed point theorems and common fixed point theorem in logconvex structure
https://ijnaa.semnan.ac.ir/article_120.html
10.22075/ijnaa.2014.120
1
Some fixed point theorems and common fixed point theorem in Logarithmic convex structure areproved.
0

1
6


A.R.
Moazzen
Department of Mathematics , Velayat University, Iranshahr, Iran.
Iran
logconvex structure
1

Nearly higher ternary derivations in Banach ternary algebras :An alternative fixed point approach
https://ijnaa.semnan.ac.ir/article_121.html
10.22075/ijnaa.2014.121
1
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) :
0

7
15


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


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


M.
Eshaghi
Department of Mathematics, Semnan University, P. O. Box 35195363, Semnan, Iran.
Iran
higher ternary derivations
1

On lambda^2asymptotically double statistical equivalent sequences
https://ijnaa.semnan.ac.ir/article_122.html
10.22075/ijnaa.2014.122
1
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.
0

16
21


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


M.
Acikgoz
Gaziantep University, Science and Art Faculty, Department of Mathematics, 27200, Gaziantep,Turkey.
Iran
1

New results for fractional evolution equations using Banach fixed point theorem
https://ijnaa.semnan.ac.ir/article_123.html
10.22075/ijnaa.2014.123
1
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.
0

22
30


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


S.
Belarbi
Faculty of Mathematics, USTHB of Algiers, Algeria.
Iran
1

On invariant sets topology
https://ijnaa.semnan.ac.ir/article_124.html
10.22075/ijnaa.2014.124
1
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.
0

31
36


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


M.
Rostamian Delavar
Young Researchers Club, Semnan Branch, Islamic Azad University, Semnan, Iran.
Iran
Topological spaces
Separation axioms
fixed point theorems
1

Weights in block iterative methods
https://ijnaa.semnan.ac.ir/article_125.html
10.22075/ijnaa.2014.125
1
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.
0

37
49


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


M.
Abbasi
Department of Mathematics, Iran University of Science and Technology, Tehran 1684613114, Iran.
Iran
1

Fixed points for Banach and Kannan contractions in modular spaces with a graph
https://ijnaa.semnan.ac.ir/article_126.html
10.22075/ijnaa.2014.126
1
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.
0

50
59


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


K.
Nourouzi
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 163151618, Tehran, Iran.
Iran
1

Sharing several secrets based on Lagrange's interpolation formula and Cipher feedback mode
https://ijnaa.semnan.ac.ir/article_127.html
10.22075/ijnaa.2014.127
1
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.
0

60
66


A.
Cheraghi
Faculty of Mathematics & Computer, Khansar, University of Isfahan, Isfahan, Iran.
Iran
1

An equivalent representation for weighted supremum norm on the upper halfplane
https://ijnaa.semnan.ac.ir/article_128.html
10.22075/ijnaa.2014.128
1
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.
0

67
79


M.A.
Ardalani
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177175
Sanandaj, Iran.
Iran
1

New results on the quasicommuting inverses
https://ijnaa.semnan.ac.ir/article_129.html
10.22075/ijnaa.2014.129
1
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.
0

80
85


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


A.
Zohri
Payame Noor University, IRAN.
Iran


M.K.
Mirnia
Department of Computer Sinence, Islamic Azad University, Tabriz Branch, Tabriz, IRAN.
Iran
1

Generalization of Darbo's fixed point theorem and application
https://ijnaa.semnan.ac.ir/article_140.html
10.22075/ijnaa.2014.140
1
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.
0

86
95


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


M.
Aliaskari
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran.
Iran
1

BhaskarLakshmikantham type results for monotone mappings in partially ordered metric spaces
https://ijnaa.semnan.ac.ir/article_141.html
10.22075/ijnaa.2014.141
1
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.
0

96
103


S.
Radenovic
University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11 120 Beograd, Serbia.
Iran
1

Coincident point and fixed point results for three self mappings in cone metric spaces
https://ijnaa.semnan.ac.ir/article_142.html
10.22075/ijnaa.2014.142
1
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])
0

104
110


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


U.
Mishra
Department of Mathematics, Vishwavidyalaya Engineering College, LakhanpurAmbikapur (Chhattisgarh), India.
Iran
1

On approximate dectic mappings in nonArchimedean spaces: A fixed point approach
https://ijnaa.semnan.ac.ir/article_143.html
10.22075/ijnaa.2014.143
1
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.
0

111
122


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


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


M.A.
Abolfathi
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
Iran
1

Multilinear forms which are products of linear forms
https://ijnaa.semnan.ac.ir/article_144.html
10.22075/ijnaa.2014.144
1
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.
0

123
129


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