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 are proved.
0

1
6


A.R.
Moazzen
Department of Mathematics , Velayat University, Iranshahr, Iran.
Iran
log
Convex 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 $(xi)$ 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$$f(lambda_1x + lambda_2y + lambda_3z) = lambda_1f(x) + lambda_2f(y) + lambda_3f(z).$$
0

7
15


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


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
Alternative fixed point
HyersUlamRassias stability
ternary algebra
ternary derivation
1

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

16
21


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


M.
Acikgoz
Gaziantep University, Science and Art Faculty, Department of Mathematics, 27200, Gaziantep,Turkey
Turkey
Pringsheim Limit Point
Pconvergent
double statistical convergence
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 nonlocal conditions. These results are obtained using Banach contraction fixed point theorem. Other results are also presented using Krasnoselskii theorem.
0

22
30


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


S.
Belarbi
Faculty of Mathematics, USTHB of Algiers, Algeria
Algeria
Caputo derivative
Fixed point theorem
Differential equation
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 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 $T_2$.
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 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.
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
block iterative methods
convex feasibility problem
Kaczmarz's method
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 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.
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
Complete modular space
Fixed point
Banach contraction
Kannan contraction
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 public values required in Chien's scheme. Motivated by these concerns, some new $(t, n)$ multisecret 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 oneway function and any simultaneous equations.
0

60
66


A.
Cheraghi
Faculty of Mathematics & Computer, Khansar, University of Isfahan, Isfahan, Iran.
Iran
Multisecret sharing
Lagrange interpolation
Cipher feedback mode
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, 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 halfplane. Finally, for an increasing weight $v$ on the upper halfplane with certain properties and holomorphic functions f on the upper halfplane we obtain an equivalent representation 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
weighted spaces
holomorphic functions
delaValle Poussion kernel
upper halfplane
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, 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 Quasicommuting 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.
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
Index of matrix
Generalized inverse
Singular linear system
Quasicommuting inverses
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 application to 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
Fixed point theorem
Measure of noncompactness
Darbo’s fixed point theorem
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 fixed point results of BhaskarLakshmikantham type [T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis 65 (2006) 13791393] 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.
0

96
103


S.
Radenovic
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia
Serbia
Coupled fixed point
uniqueness of the coupled fixed point
monotone mappings
partially ordered set
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 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. [5], [6])
0

104
110


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


U.
Mishra
Department of Mathematics, Vishwavidyalaya Engineering College, LakhanpurAmbikapur (Chhattisgarh), India
India
ITCommuting Maps
Cone Metric Spaces
Coincident Point
Common fixed point
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, cubic and quartic functional equations with constants coefficients 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
HyersUlam stability
nonArchimedean normed space
dectic functional equation
Fixed point method
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
Greece
Multilinear forms
Symmetric mlinear form
Quartic functional
Hermitian form
homogeneous polynomial