2020-01-26T00:51:04Z
https://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=22
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
Some fixed point theorems and common fixed point theorem in log-convex structure
A.R.
Moazzen
Some fixed point theorems and common fixed point theorem in Logarithmic convex structure are<br />proved.
log-convex structure
2014
07
01
1
6
https://ijnaa.semnan.ac.ir/article_120_76bab3ef8574fc7a07676f8212c06a8e.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
Nearly higher ternary derivations in Banach ternary algebras :An alternative fixed point approach
S.A.R.
Hosseinioun
R.
Farrokhzad
M.
Eshaghi
We say a functional equation () is stable if any function g satisfying the equation () approximately<br />is near to true solution of (). Using xed point methods, we investigate approximately higher<br />ternary derivations in Banach ternary algebras via the Cauchy functional equation<br />f(1x + 2y + 3z) = 1f(x) + 2f(y) + 3f(z) :
higher ternary derivations
2014
07
01
7
15
https://ijnaa.semnan.ac.ir/article_121_3f2a6733a98636de75a86487f4156522.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
On lambda^2-asymptotically double statistical equivalent sequences
A.
Esi
M.
Acikgoz
This paper presents the following new denition which is a natural combination of the denition for<br />asymptotically double equivalent, double statistically limit and double 2 sequences. The double<br />sequence 2 = (m;n) of positive real numbers tending to innity such that<br />m+1;n m;n + 1; m;n+1 m;n + 1;<br />m;n m+1;n m;n+1 m+1;n+1; 1;1 = 1;<br />and<br />Im;n = f(k; l) : m m;n + 1 k m; n m;n + 1 l ng :<br />For double 2sequence; the two non-negative sequences x = (xk;l) and y = (yk;l) are said to be<br />2asymptotically double statistical equivalent of multiple L provided that for every " > 0<br />P lim<br />m;n<br />1<br />m;n<br /><br /><br />(k; l) 2 Im;n :<br /><br />xk;l<br />yk;l<br /> L<br /><br /> "<br /><br />= 0<br />(denoted by x<br />SL<br />2 v y) and simply 2asymptotically double statistical equivalent if L = 1.
2014
07
01
16
21
https://ijnaa.semnan.ac.ir/article_122_45ee63901dfa55161fc926e32a4fe85b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
New results for fractional evolution equations using Banach fixed point theorem
Z.
Dahmani
S.
Belarbi
In this paper, we study the existence of solutions for fractional evolution equations with nonlocal<br />conditions. These results are obtained using Banach contraction xed point theorem. Other results<br />are also presented using Krasnoselskii theorem.
2014
07
01
22
30
https://ijnaa.semnan.ac.ir/article_123_1169f59625820a8120c88593579bcde9.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
On invariant sets topology
M.
Eshaghi Gordji
M.
Rostamian Delavar
In this paper, we introduce and study a new topology related to a self mapping on a nonempty set.<br />Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets of<br />X related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,<br />we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between f<br />and To f . For instance, we find the conditions on f to show that whenever f is T0, T1 or T2.
Topological spaces
Separation axioms
fixed point theorems
2014
07
01
31
36
https://ijnaa.semnan.ac.ir/article_124_5a349c59eb163ba27e34e1903588d147.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
Weights in block iterative methods
T.
Nikazad
M.
Abbasi
In this paper we introduce a sequential block iterative method and its simultaneous version with op-<br />timal combination of weights (instead of convex combination) for solving convex feasibility problems.<br />When the intersection of the given family of convex sets is nonempty, it is shown that any sequence<br />generated by the given algorithms converges to a feasible point. Additionally for linear feasibility<br />problems, we give equivalency of our algorithms with sequential and simultaneous block Kaczmarz<br />methods explaining the optimal weights have been inherently used in Kaczmarz methods. In addi-<br />tion, a convergence result is presented for simultaneous block Kaczmarz for the case of inconsistent<br />linear system of equations.
2014
07
01
37
49
https://ijnaa.semnan.ac.ir/article_125_9adafe7b3a76d7094dc7be2c82478b76.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
Fixed points for Banach and Kannan contractions in modular spaces with a graph
A.
Aghanians
K.
Nourouzi
In this paper, we discuss the existence and uniqueness of xed points for Banach and Kannan<br />contractions dened on modular spaces endowed with a graph. We do not impose the Δ2-condition<br />or the Fatou property on the modular spaces to give generalizations of some recent results. The<br />given results play as a modular version of metric xed point results.
2014
07
01
50
59
https://ijnaa.semnan.ac.ir/article_126_f0449e8d71496c26173bc1b9c622400b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
Sharing several secrets based on Lagrange's interpolation formula and Cipher feedback mode
A.
Cheraghi
In a multi-secret sharing scheme, several secret values are distributed among a set of n participants.<br />In 2000 Chien et al.'s proposed a (t; n) multi-secret sharing scheme. Many storages and public<br />values required in Chien's scheme. Motivated by these concerns, some new (t; n) multi-secret sharing<br />schemes are proposed in this paper based on the Lagrange interpolation formula for polynomials and<br />cipher feedback mode (CFB), which are easier than Chien's scheme in the secret reconstruction and<br />require fewer number of public values and storages than Chien's scheme. Also our schemes don't<br />need any one-way function and any simultaneous equations.
2014
07
01
60
66
https://ijnaa.semnan.ac.ir/article_127_7e50439b69b888cd774502e1936b9d13.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
An equivalent representation for weighted supremum norm on the upper half-plane
M.A.
Ardalani
In this paper, rstly, we obtain some inequalities which estimates complex polynomials on the circles.<br />Then, we use these estimates and a Moebius transformation to obtain the dual of this estimates for<br />the lines in upper half-plane. Finally, for an increasing weight on the upper half-plane with<br />certain properties and holomorphic functions f on the upper half-plane we obtain an equivalent<br />representation for weighted supremum norm.
2014
07
01
67
79
https://ijnaa.semnan.ac.ir/article_128_293401779d9e769952a5e75f14868c3b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
New results on the quasi-commuting inverses
M.
Nikuie
A.
Zohri
M.K.
Mirnia
A matrix has an ordinary inverse only if it is square, and even then only if it is nonsingular or, in<br />other words, if its columns (or rows) are linearly independent. In recent years needs have been felt in<br />numerous areas of applied mathematics for some kind of partial inverse of a matrix that is singular<br />or even rectangular. In this paper, some results on the Quasi-commuting inverses, are given and<br />the eect of them in solving the case of linear system of equations where the coecient matrix is a<br />singular matrix, is illustrated.
2014
07
01
80
85
https://ijnaa.semnan.ac.ir/article_129_9e02585d526696dbca90a6e2bb9c5518.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
Generalization of Darbo's fixed point theorem and application
A.
Aghajani
M.
Aliaskari
In this paper, an attempt is made to present an extension of Darbo's theorem, and its application<br />to study the solvability of a functional integral equation of Volterra type.
2014
07
01
86
95
https://ijnaa.semnan.ac.ir/article_140_88eaee7203e785d9ef9c30e05d897266.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
Bhaskar-Lakshmikantham type results for monotone mappings in partially ordered metric spaces
S.
Radenovic
In this paper, coupled xed point results of Bhaskar-Lakshmikantham type [T. Gnana Bhaskar, V.<br />Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear<br />Analysis 65 (2006) 1379-1393] are extend, generalized, unify and improved by using monotone<br />mappings instead mappings with mixed monotone property. Also, an example is given to support<br />these improvements.
2014
07
01
96
103
https://ijnaa.semnan.ac.ir/article_141_1aca36ab86878fac5faae39be2dc9758.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
Coincident point and fixed point results for three self mappings in cone metric spaces
A.K.
Dubey
U.
Mishra
In this attempt we proved results on points of coincidence and common xed points for three self<br />mappings satisfying generalized contractive type conditions in cone metric spaces. Our results gen-<br />eralizes some previous known results in the literature (eg. [5], [6])
2014
07
01
104
110
https://ijnaa.semnan.ac.ir/article_142_211d31a777db6153e5a1463bc4f22cf9.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
On approximate dectic mappings in non-Archimedean spaces: A fixed point approach
A.
Ebadian
R.
Aghalary
M.A.
Abolfathi
In this paper, we investigate the Hyers-Ulam stability for the system of additive, quadratic, cubic<br />and quartic functional equations with constants coecients in the sense of dectic mappings in non-<br />Archimedean normed spaces.
2014
07
01
111
122
https://ijnaa.semnan.ac.ir/article_143_eaea8736ac6cd08fae6a3ab3e40bf2fb.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2014
5
2
Multilinear forms which are products of linear forms
A.
Pappas
The conditions under which, multilinear forms (the symmetric case and the non symmetric case),<br />can be written as a product of linear forms, are considered. Also we generalize a result due to S.<br />Kurepa for 2n-functionals in a group G.
2014
07
01
123
129
https://ijnaa.semnan.ac.ir/article_144_6e5e0e0988714ebf08656ae0d42d7846.pdf