Some fixed point theorems and common fixed point theorem in log-convex structure
A.R.
Moazzen
Department of Mathematics , Velayat University, Iranshahr, Iran.
author
text
article
2014
eng
Some fixed point theorems and common fixed point theorem in Logarithmic convex structure are proved.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
1
6
https://ijnaa.semnan.ac.ir/article_120_76bab3ef8574fc7a07676f8212c06a8e.pdf
dx.doi.org/10.22075/ijnaa.2014.120
Nearly higher ternary derivations in Banach ternary algebras: An alternative fixed point approach
S.A.R.
Hosseinioun
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA
author
R.
Farrokhzad
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
author
M.
Eshaghi
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
author
text
article
2014
eng
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$$f(\lambda_1x + \lambda_2y + \lambda_3z) = \lambda_1f(x) + \lambda_2f(y) + \lambda_3f(z).$$
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
7
15
https://ijnaa.semnan.ac.ir/article_121_3f2a6733a98636de75a86487f4156522.pdf
dx.doi.org/10.22075/ijnaa.2014.121
On $\lambda^2$-asymptotically double statistical equivalent sequences
A.
Esi
Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey
author
M.
Acikgoz
Gaziantep University, Science and Art Faculty, Department of Mathematics, 27200, Gaziantep,Turkey
author
text
article
2014
eng
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$$\lambda_{m+1,n}\leq\lambda_{m,n} + 1, \lambda_{m,n+1}\leq\lambda{m,n} + 1,$$$$\lambda_{m,n} -\lambda_{m+1,n }\leq\lambda_{m,n+1}\lambda_{m+1,n+1}, \lambda_{1,1} = 1,$$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$$$P - \lim_{m,n}\frac{1}{\lambda_{m,n}}|\{(k,l)\in I_{m,n}:|\frac{x_{k,l}}{y_{k,l}}-L\geq\varepsilon\}|=0$$(denoted by $x\sim^{S_{\lambda^2}^L } y$) and simply $\lambda^2$-asymptotically double statistical equivalent if $L = 1$.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
16
21
https://ijnaa.semnan.ac.ir/article_122_45ee63901dfa55161fc926e32a4fe85b.pdf
dx.doi.org/10.22075/ijnaa.2014.122
New results for fractional evolution equations using Banach fixed point theorem
Z.
Dahmani
LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria
author
S.
Belarbi
Faculty of Mathematics, USTHB of Algiers, Algeria
author
text
article
2014
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
22
30
https://ijnaa.semnan.ac.ir/article_123_1169f59625820a8120c88593579bcde9.pdf
dx.doi.org/10.22075/ijnaa.2014.123
On invariant sets topology
M.
Eshaghi Gordji
Department of Mathematics, Semnan University, P.O.Box. 35195-363, Semnan, Iran.
author
M.
Rostamian Delavar
Young Researchers Club, Semnan Branch, Islamic Azad University, Semnan, Iran.
author
text
article
2014
eng
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. $\tau_f := \{A\subseteq X : f(A)\subseteq A\}\subseteq \mathcal{P}(X)$ is a topology on $X$. Among other things, we find the smallest open sets contains a point $x\in X$. 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 $T_2$.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
31
36
https://ijnaa.semnan.ac.ir/article_124_5a349c59eb163ba27e34e1903588d147.pdf
dx.doi.org/10.22075/ijnaa.2014.124
Weights in block iterative methods
T.
Nikazad
Department of Mathematics, Iran University of Science and Technology, Tehran 16846-13114, Iran.
author
M.
Abbasi
Department of Mathematics, Iran University of Science and Technology, Tehran 16846-13114, Iran.
author
text
article
2014
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
37
49
https://ijnaa.semnan.ac.ir/article_125_9adafe7b3a76d7094dc7be2c82478b76.pdf
dx.doi.org/10.22075/ijnaa.2014.125
Fixed points for Banach and Kannan contractions in modular spaces with a graph
A.
Aghanians
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
author
K.
Nourouzi
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
author
text
article
2014
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
50
59
https://ijnaa.semnan.ac.ir/article_126_f0449e8d71496c26173bc1b9c622400b.pdf
dx.doi.org/10.22075/ijnaa.2014.126
Sharing several secrets based on Lagrange's interpolation formula and Cipher feedback mode
A.
Cheraghi
Faculty of Mathematics & Computer, Khansar, University of Isfahan, Isfahan, Iran.
author
text
article
2014
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
60
66
https://ijnaa.semnan.ac.ir/article_127_7e50439b69b888cd774502e1936b9d13.pdf
dx.doi.org/10.22075/ijnaa.2014.127
An equivalent representation for weighted supremum norm on the upper half-plane
M.A.
Ardalani
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177-175
Sanandaj, Iran.
author
text
article
2014
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
67
79
https://ijnaa.semnan.ac.ir/article_128_293401779d9e769952a5e75f14868c3b.pdf
dx.doi.org/10.22075/ijnaa.2014.128
New results on the quasi-commuting inverses
M.
Nikuie
aYoung Researchers and Elite Club, Islamic Azad University, Tabriz Branch, Tabriz, IRAN.
author
A.
Zohri
Payame Noor University, IRAN.
author
M.K.
Mirnia
Department of Computer Sinence, Islamic Azad University, Tabriz Branch, Tabriz, IRAN.
author
text
article
2014
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
80
85
https://ijnaa.semnan.ac.ir/article_129_9e02585d526696dbca90a6e2bb9c5518.pdf
dx.doi.org/10.22075/ijnaa.2014.129
Generalization of Darbo's fixed point theorem and application
A.
Aghajani
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran.
author
M.
Aliaskari
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran.
author
text
article
2014
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
86
95
https://ijnaa.semnan.ac.ir/article_140_88eaee7203e785d9ef9c30e05d897266.pdf
dx.doi.org/10.22075/ijnaa.2014.140
Bhaskar-Lakshmikantham type results for monotone mappings in partially ordered metric spaces
S.
Radenovic
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia
author
text
article
2014
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
96
103
https://ijnaa.semnan.ac.ir/article_141_1aca36ab86878fac5faae39be2dc9758.pdf
dx.doi.org/10.22075/ijnaa.2014.141
Coincident point and fixed point results for three self mappings in cone metric spaces
A.K.
Dubey
Department of Mathematics, Bhilai Institute of Technology, Bhilai House, Durg (Chhattisgarh), India
author
U.
Mishra
Department of Mathematics, Vishwavidyalaya Engineering College, Lakhanpur-Ambikapur (Chhattisgarh), India
author
text
article
2014
eng
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])
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
104
110
https://ijnaa.semnan.ac.ir/article_142_211d31a777db6153e5a1463bc4f22cf9.pdf
dx.doi.org/10.22075/ijnaa.2014.142
On approximate dectic mappings in non-Archimedean spaces: A fixed point approach
A.
Ebadian
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
author
R.
Aghalary
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
author
M.A.
Abolfathi
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
author
text
article
2014
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
111
122
https://ijnaa.semnan.ac.ir/article_143_eaea8736ac6cd08fae6a3ab3e40bf2fb.pdf
dx.doi.org/10.22075/ijnaa.2014.143
Multilinear forms which are products of linear forms
A.
Pappas
Civil Engineering Department, School of Technological Applications, Technological Educational Institution (TEI) of
Piraeus, GR 11244, Egaleo, Athens, Greece
author
text
article
2014
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
2
no.
2014
123
129
https://ijnaa.semnan.ac.ir/article_144_6e5e0e0988714ebf08656ae0d42d7846.pdf
dx.doi.org/10.22075/ijnaa.2014.144