2020-07-02T17:37:40Z
https://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=12
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
1
Fixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result
A
Erduran
I.
Altun
In this paper, we give some xed point theorems for '-weak contractive<br />type mappings on complete G-metric space, which was given by Zaed and<br />Sims [1]. Also a homotopy result is given.
Fixed point
weakly contractive maps
G-metric space
2012
01
01
1
8
https://ijnaa.semnan.ac.ir/article_33_5d27d2d7815f20f0b239f934a9ef2bef.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
1
Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings
P.
Yatakoat
S.
Suantai
In this paper, we introduce and study a new iterative scheme to<br />approximate a common xed point for a nite family of generalized asymptotically<br />quasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weak<br />convergence theorems of the proposed iteration are established. The main results<br />obtained in this paper generalize and rene some known results in the current<br />literature.
Generalized asymptotically quasi-nonexpansive nonself-mappings
Common xed points
Weak and Strong convergence
2012
01
01
9
16
https://ijnaa.semnan.ac.ir/article_35_cc8eb19482ddfa3a8c2957b6c9ae79b0.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
1
A unique common fixed point theorem for six maps in g-metric spaces
K. P. R.
Rao
K. B.
Lakshmi
Z.
Mustafa
In this paper we obtain a unique common xed point theorem for six<br />weakly compatible mappings in G-metric spaces.
G-metric
Common xed points
Compatible mappings
2012
01
01
17
23
https://ijnaa.semnan.ac.ir/article_37_3186ecfa468d8087bed847669f25a299.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
1
Common fixed point of generalized ($psi$-$varphi$)-weak contraction mappings
S.
Moradi
E.
Analoei
Let (X; d) be a complete metric space and let f; g : X ! X be<br />two mappings which satisfy a ( ')-weak contraction condition or generalized<br />( ')-weak contraction condition. Then f and g have a unique common xed<br />point. Our results extend previous results given by Ciric (1971), Rhoades (2001),<br />Branciari (2002), Rhoades (2003), Abbas and Ali Khan (2009), Zhang and Song<br />(2009) and Moradi at. el. (2011).
Fixed point
Coincidence point
weakly compatible
2012
01
01
24
30
https://ijnaa.semnan.ac.ir/article_38_bc12a81ea379a60d40d09280eee88e42.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
1
On the fine spectra of the Zweier matrix as an operator over the weighted sequence space $l_{p}(w)$
R.
Lashkaripour
J.
Fathi
In the present paper, the ne spectrum of the Zweier matrix as an<br />operator over the weighted sequence space `p(w); have been examined.
Spectrum of an operator
matrix mapping
Zweier matrix
weighted
sequence space
2012
01
01
31
39
https://ijnaa.semnan.ac.ir/article_42_da5de63049690b6304c4d6ef0a6ae203.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
1
On the approximate solution of Hosszus
functional equation
B.
Bouikhalene
J. M.
Rassias
A.
Charifi
S.
Kabbaj
We show that every approximate solution of the Hosszu's functional<br />equation<br />f(x + y + xy) = f(x) + f(y) + f(xy) for any x; y 2 R;<br />is an additive function and also we investigate the Hyers-Ulam stability of this<br />equation in the following setting<br />jf(x + y + xy) f(x) f(y) f(xy)j + '(x; y)<br />for any x; y 2 R and > 0.
Additive function
Hosszu's functional equation
Hyers-Ulam stability
2012
01
01
40
44
https://ijnaa.semnan.ac.ir/article_45_05a87c012c6971554afb7ebdaa886d7d.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
1
Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm
A. R.
Moazzen
R.
Lashkaripour
Let A = (an;k)n;k1 and B = (bn;k)n;k1 be two non-negative ma-<br />trices. Denote by Lv;p;q;B(A), the supremum of those L, satisfying the following<br />inequality:<br />k Ax kv;B(q) L k x kv;B(p);<br />where x 0 and x 2 lp(v;B) and also v = (vn)1n<br />=1 is an increasing, non-negative<br />sequence of real numbers. In this paper, we obtain a Hardy-type formula for<br />Lv;p;q;B(H), where H is the Hausdor matrix and 0 < q p 1. Also for the<br />case p = 1, we obtain kAkw;B(1), and for the case p 1, we obtain Lw;B(p)(A).
Lower bound
Weighted block sequence space
Hausdor matrices
Euler matrices
Cesaro matrices
Matrix norm
2012
01
01
45
54
https://ijnaa.semnan.ac.ir/article_46_a875762021951bf010efadf9db780be0.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
1
An analog of Titchmarsh's theorem for the Dunkl transform in the space $mathrm{L}_{alpha}^{2}(mathbb{R})$
R.
Daher
M.
El Hamma
In this paper, using a generalized Dunkl translation operator, we obtain an analog of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the Lipschitz-Dunkl condition in $mathrm{L}_{2,alpha}=mathrm{L}_{alpha}^{2}(mathbb{R})=mathrm{L}^{2}(mathbb{R}, |x|^{2alpha+1}dx), alpha>frac{-1}{2}$.
Dunkl operator
Dunkl transform
generalized Dunkl translation
2012
01
01
55
60
https://ijnaa.semnan.ac.ir/article_48_09ab190d1ec72a1adc2dde5fead7614b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
1
Application of He's homotopy perturbation
method for solving Sivashinsky equation
M.
Ghasemi
A.
Davari
M.
Fardi
In this paper, the solution of the evolutionary<br />fourth-order in space, Sivashinsky equation is obtained by means<br />of homotopy perturbation method (textbf{HPM}). The results reveal<br />that the method is very effective, convenient and quite accurate<br />to systems of nonlinear partial differential equations.
Homotopy perturbation method
Sivashinsky equation
2012
01
01
61
67
https://ijnaa.semnan.ac.ir/article_49_b4b149fad220932afa0071fab8ba37a5.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2012
3
1
Coupled systems of equations with entire and polynomial functions
M.
Gil
We consider the coupled system<br />$F(x,y)=G(x,y)=0$,<br />where<br />$$<br />F(x, y)=bs 0 {m_1} A_k(y)x^{m_1-k}mbox{ and } G(x, y)=bs 0 {m_2} B_k(y)x^{m_2-k}<br />$$<br />with entire functions $A_k(y), B_k(y)$.<br />We derive a priory estimates for the sums of the roots<br />of the considered system and<br />for the counting function of roots.
coupled systems
entire and polynomial functions
a priory estimates
resultant
2012
01
01
68
73
https://ijnaa.semnan.ac.ir/article_50_7301f14535c96830f92b2d46fcdbf727.pdf