eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
1
6
10.22075/ijnaa.2014.120
120
Some fixed point theorems and common fixed point theorem in log-convex structure
A.R. Moazzen
1
Department of Mathematics , Velayat University, Iranshahr, Iran.
Some fixed point theorems and common fixed point theorem in Logarithmic convex structure are<br />proved.
https://ijnaa.semnan.ac.ir/article_120_76bab3ef8574fc7a07676f8212c06a8e.pdf
log-convex structure
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
7
15
10.22075/ijnaa.2014.121
121
Nearly higher ternary derivations in Banach ternary algebras :An alternative fixed point approach
S.A.R. Hosseinioun
1
R. Farrokhzad
2
M. Eshaghi
3
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA.
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
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) :
https://ijnaa.semnan.ac.ir/article_121_3f2a6733a98636de75a86487f4156522.pdf
higher ternary derivations
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
16
21
10.22075/ijnaa.2014.122
122
On lambda^2-asymptotically double statistical equivalent sequences
A. Esi
1
M. Acikgoz
2
Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey.
Gaziantep University, Science and Art Faculty, Department of Mathematics, 27200, Gaziantep,Turkey.
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.
https://ijnaa.semnan.ac.ir/article_122_45ee63901dfa55161fc926e32a4fe85b.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
22
30
10.22075/ijnaa.2014.123
123
New results for fractional evolution equations using Banach fixed point theorem
Z. Dahmani
1
S. Belarbi
2
LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria
Faculty of Mathematics, USTHB of Algiers, Algeria.
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.
https://ijnaa.semnan.ac.ir/article_123_1169f59625820a8120c88593579bcde9.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
31
36
10.22075/ijnaa.2014.124
124
On invariant sets topology
M. Eshaghi Gordji
1
M. Rostamian Delavar
2
Department of Mathematics, Semnan University, P.O.Box. 35195-363, Semnan, Iran.
Young Researchers Club, Semnan Branch, Islamic Azad University, Semnan, Iran.
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.
https://ijnaa.semnan.ac.ir/article_124_5a349c59eb163ba27e34e1903588d147.pdf
Topological spaces
Separation axioms
fixed point theorems
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
37
49
10.22075/ijnaa.2014.125
125
Weights in block iterative methods
T. Nikazad
1
M. Abbasi
2
Department of Mathematics, Iran University of Science and Technology, Tehran 16846-13114, Iran.
Department of Mathematics, Iran University of Science and Technology, Tehran 16846-13114, Iran.
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.
https://ijnaa.semnan.ac.ir/article_125_9adafe7b3a76d7094dc7be2c82478b76.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
50
59
10.22075/ijnaa.2014.126
126
Fixed points for Banach and Kannan contractions in modular spaces with a graph
A. Aghanians
1
K. Nourouzi
2
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
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.
https://ijnaa.semnan.ac.ir/article_126_f0449e8d71496c26173bc1b9c622400b.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
60
66
10.22075/ijnaa.2014.127
127
Sharing several secrets based on Lagrange's interpolation formula and Cipher feedback mode
A. Cheraghi
1
Faculty of Mathematics & Computer, Khansar, University of Isfahan, Isfahan, Iran.
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.
https://ijnaa.semnan.ac.ir/article_127_7e50439b69b888cd774502e1936b9d13.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
67
79
10.22075/ijnaa.2014.128
128
An equivalent representation for weighted supremum norm on the upper half-plane
M.A. Ardalani
1
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177-175 Sanandaj, Iran.
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.
https://ijnaa.semnan.ac.ir/article_128_293401779d9e769952a5e75f14868c3b.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
80
85
10.22075/ijnaa.2014.129
129
New results on the quasi-commuting inverses
M. Nikuie
1
A. Zohri
2
M.K. Mirnia
3
aYoung Researchers and Elite Club, Islamic Azad University, Tabriz Branch, Tabriz, IRAN.
Payame Noor University, IRAN.
Department of Computer Sinence, Islamic Azad University, Tabriz Branch, Tabriz, IRAN.
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.
https://ijnaa.semnan.ac.ir/article_129_9e02585d526696dbca90a6e2bb9c5518.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
86
95
10.22075/ijnaa.2014.140
140
Generalization of Darbo's fixed point theorem and application
A. Aghajani
1
M. Aliaskari
2
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran.
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran.
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.
https://ijnaa.semnan.ac.ir/article_140_88eaee7203e785d9ef9c30e05d897266.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
96
103
10.22075/ijnaa.2014.141
141
Bhaskar-Lakshmikantham type results for monotone mappings in partially ordered metric spaces
S. Radenovic
1
University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11 120 Beograd, Serbia.
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.
https://ijnaa.semnan.ac.ir/article_141_1aca36ab86878fac5faae39be2dc9758.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
104
110
10.22075/ijnaa.2014.142
142
Coincident point and fixed point results for three self mappings in cone metric spaces
A.K. Dubey
1
U. Mishra
2
aDepartment of Mathematics, Bhilai Institute of Technology, Bhilai House, Durg (Chhattisgarh), India
Department of Mathematics, Vishwavidyalaya Engineering College, Lakhanpur-Ambikapur (Chhattisgarh), India.
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])
https://ijnaa.semnan.ac.ir/article_142_211d31a777db6153e5a1463bc4f22cf9.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
111
122
10.22075/ijnaa.2014.143
143
On approximate dectic mappings in non-Archimedean spaces: A fixed point approach
A. Ebadian
1
R. Aghalary
2
M.A. Abolfathi
3
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
Department of Mathematics, Urmia University, P.O.Box 165, Urmia, Iran.
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.
https://ijnaa.semnan.ac.ir/article_143_eaea8736ac6cd08fae6a3ab3e40bf2fb.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-07-01
5
2
123
129
10.22075/ijnaa.2014.144
144
Multilinear forms which are products of linear forms
A. Pappas
1
Civil Engineering Department, School of Technological Applications, Technological Educational Institution (TEI) of Piraeus, GR 11244, Egaleo, Athens, Greece.
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.
https://ijnaa.semnan.ac.ir/article_144_6e5e0e0988714ebf08656ae0d42d7846.pdf