2022-05-28T18:46:42Z
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 fixed point theorems for $\varphi$-weak contraction type mappings on complete G-metric space, which was given by Zaed and 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 approximate a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weak convergence theorems of the proposed iteration are established. The main results obtained in this paper generalize and refine some known results in the current 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 fixed point theorem for six weakly compatible mappings in G-metric spaces.
G-metric
common fixed 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 $f,g : X \to X$ be two mappings which satisfy a ($\psi$-$\varphi$)-weak contraction condition or generalized ($\psi$-$\varphi$)-weak contraction condition. Then $f$ and $g$ have a unique common fixed point. 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
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 fine spectrum of the Zweier matrix as an operator over the weighted sequence space $\ell_p(w)$, has 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 equation$$f(x + y + xy) = f(x) + f(y) + f(xy) \ \text{for any}\ x, y\in \mathbb{R},$$is an additive function and also we investigate the Hyers-Ulam stability of this equation in the following setting$$|f(x + y + xy) - f(x) - f(y) - f(xy)|\leq\delta + \varphi(x; y)$$for any $x, y\in \mathbb{R}$ and $\delta > 0$.
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 $A=(a_{n,k})_{n,k\geq1}$ and $B=(b_{n,k})_{n,k\geq1}$ be two non-negative matrices. Denote by $L_{v,p,q,B}(A)$, the supremum of those $L$, satisfying the following inequality:$$\|Ax\|_{v,B(q)}\geq L\|x\|_{v,B(p)},$$where $x\geq 0$ and $x \in l_p(v,B)$ and also$v = (v_n)_{n=1}^\infty$ is an increasing, non-negative sequence of real numbers. In this paper, we obtain a Hardy-type formula for $L_{v,p,q,B}(H_\mu)$, where $H_\mu$ is the Hausdorff matrix and $0 < q \leq p \leq1$. Also for the case $p = 1$, we obtain $\|Ax\|_{v,B(1)}$, and for the case $p\geq 1$, we obtain $L_{v,p,q,B}(A)$.
Lower bound
Weighted block sequence space
Hausdorff 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 $\mathrm{L}_{2,\alpha}=\mathrm{L}_{\alpha}^{2}(\mathbb{R})=\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx), \alpha>\frac{-1}{2}$.
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 fourth-order in space, Sivashinsky equation is obtained by means of homotopy perturbation method (textbf{HPM}). The results reveal that the method is very effective, convenient and quite accurate 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 $F(x,y)=G(x,y)=0$, where$$F(x, y)=\sum_{k=0}^{m_1} A_k(y)x^{m_1-k} \quad \text{ and }\quad G(x, y)=\sum_{k=0}^{m_2} B_k(y)x^{m_2-k}$$with entire functions $A_k(y), B_k(y)$. We derive a priory estimate for the sums of the roots of the considered system and 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