2017-06-23T23:21:44Z
http://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 contractivetype mappings on complete G-metric space, which was given by Zaed andSims [1]. Also a homotopy result is given.
fixed point
weakly contractive maps
G-metric space
2012
01
01
1
8
http://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 toapproximate a common xed point for a nite family of generalized asymptoticallyquasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weakconvergence theorems of the proposed iteration are established. The main resultsobtained in this paper generalize and rene some known results in the currentliterature.
Generalized asymptotically quasi-nonexpansive nonself-mappings
Common xed points
Weak and Strong convergence
2012
01
01
9
16
http://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 sixweakly compatible mappings in G-metric spaces.
G-metric
Common xed points
compatible mappings
2012
01
01
17
23
http://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 betwo mappings which satisfy a ( ')-weak contraction condition or generalized( ')-weak contraction condition. Then f and g have a unique common xedpoint. Our results extend previous results given by Ciric (1971), Rhoades (2001),Branciari (2002), Rhoades (2003), Abbas and Ali Khan (2009), Zhang and Song(2009) and Moradi at. el. (2011).
fixed point
coincidence point
weakly compatible
2012
01
01
24
30
http://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 anoperator 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
http://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 functionalequationf(x + y + xy) = f(x) + f(y) + f(xy) for any x; y 2 R;is an additive function and also we investigate the Hyers-Ulam stability of thisequation in the following settingjf(x + y + xy) f(x) f(y) f(xy)j + '(x; y)for any x; y 2 R and > 0.
Additive function
Hosszu's functional equation
Hyers-Ulam stability
2012
01
01
40
44
http://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-trices. Denote by Lv;p;q;B(A), the supremum of those L, satisfying the followinginequality:k Ax kv;B(q) L k x kv;B(p);where x 0 and x 2 lp(v;B) and also v = (vn)1n=1 is an increasing, non-negativesequence of real numbers. In this paper, we obtain a Hardy-type formula forLv;p;q;B(H), where H is the Hausdor matrix and 0 < q p 1. Also for thecase 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
http://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
http://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 evolutionaryfourth-order in space, Sivashinsky equation is obtained by meansof homotopy perturbation method (textbf{HPM}). The results revealthat the method is very effective, convenient and quite accurateto systems of nonlinear partial differential equations.
Homotopy perturbation method
Sivashinsky equation
2012
01
01
61
67
http://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$F(x,y)=G(x,y)=0$,where$$F(x, y)=bs 0 {m_1} A_k(y)x^{m_1-k}mbox{ and } G(x, y)=bs 0 {m_2} B_k(y)x^{m_2-k}$$with entire functions $A_k(y), B_k(y)$.We derive a priory estimates for the sums of the rootsof the considered system andfor the counting function of roots.
coupled systems
entire and polynomial functions
a priory estimates
resultant
2012
01
01
68
73
http://ijnaa.semnan.ac.ir/article_50_7301f14535c96830f92b2d46fcdbf727.pdf