Fixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result
A
Erduran
Department of Mathematics, Faculty of Science and Arts, Kirikkale Univer-
sity, 71450 Yahsihan, Kirikkale, Turkey
author
I.
Altun
Department of Mathematics, Faculty of Science and Arts, Kirikkale Univer-
sity, 71450 Yahsihan, Kirikkale, Turkey
author
text
article
2012
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
3
v.
1
no.
2012
1
8
https://ijnaa.semnan.ac.ir/article_33_5d27d2d7815f20f0b239f934a9ef2bef.pdf
dx.doi.org/10.22075/ijnaa.2012.33
Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings
P.
Yatakoat
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
author
S.
Suantai
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
author
text
article
2012
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
3
v.
1
no.
2012
9
16
https://ijnaa.semnan.ac.ir/article_35_cc8eb19482ddfa3a8c2957b6c9ae79b0.pdf
dx.doi.org/10.22075/ijnaa.2012.35
A unique common fixed point theorem for six maps in g-metric spaces
K. P. R.
Rao
Department of Applied Mathematics, Acharya Nagarjuna University-Dr. M.R.
Appa Row Campus, Nuzvid-521 201, Andhra Pradesh, India
author
K. B.
Lakshmi
Department of Applied Mathematics, Acharya Nagarjuna University-Dr. M.R.
Appa Row Campus, Nuzvid-521 201, Andhra Pradesh, India
author
Z.
Mustafa
Department of Mathematics, The Hashemite University, P.O. 330127, Zarqa 13115, Jordan
author
text
article
2012
eng
In this paper we obtain a unique common fixed point theorem for six weakly compatible mappings in G-metric spaces.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
3
v.
1
no.
2012
17
23
https://ijnaa.semnan.ac.ir/article_37_3186ecfa468d8087bed847669f25a299.pdf
dx.doi.org/10.22075/ijnaa.2012.37
Common fixed point of generalized ($\psi$-$\varphi$)-weak contraction mappings
S.
Moradi
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-
8-8349, Iran.
author
E.
Analoei
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-
8-8349, Iran.
author
text
article
2012
eng
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).
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
3
v.
1
no.
2012
24
30
https://ijnaa.semnan.ac.ir/article_38_bc12a81ea379a60d40d09280eee88e42.pdf
dx.doi.org/10.22075/ijnaa.2012.38
On the fine spectra of the Zweier matrix as an operator over the weighted sequence space $l_{p}(w)$
R.
Lashkaripour
Department of Mathematic, Faculty of Mathematics, University of Sistan and
Baluchestan, Zahedan, Iran.
author
J.
Fathi
Department of Mathematic, Faculty of Mathematics, University of Sistan and
Baluchestan, Zahedan, Iran.
author
text
article
2012
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
3
v.
1
no.
2012
31
39
https://ijnaa.semnan.ac.ir/article_42_da5de63049690b6304c4d6ef0a6ae203.pdf
dx.doi.org/10.22075/ijnaa.2012.42
On the approximate solution of Hosszus functional equation
B.
Bouikhalene
Laboratory LIRST, Polydisciplinary Faculty, Departement of Mathematics,
University Sultan Moulay Slimane, Beni-Mellal Morocco
author
J. M.
Rassias
National and Capodistrian University of Athens, Section of Mathematics and
Informatics, 4, Agamemnonos Str., Aghia Paraskevi, Athens 15342, Greece
author
A.
Charifi
Faculty of sciences, Departement of Mathematics, University of Ibn Tofail,
Kenitra, Morocco
author
S.
Kabbaj
Faculty of sciences, Departement of Mathematics, University of Ibn Tofail,
Kenitra, Morocco
author
text
article
2012
eng
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 $\delta > 0$.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
3
v.
1
no.
2012
40
44
https://ijnaa.semnan.ac.ir/article_45_05a87c012c6971554afb7ebdaa886d7d.pdf
dx.doi.org/10.22075/ijnaa.2012.45
Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm
A. R.
Moazzen
Dept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.
author
R.
Lashkaripour
Dept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.
author
text
article
2012
eng
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 $L_{v,p,q,B}(A)$.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
3
v.
1
no.
2012
45
54
https://ijnaa.semnan.ac.ir/article_46_a875762021951bf010efadf9db780be0.pdf
dx.doi.org/10.22075/ijnaa.2012.46
An analog of Titchmarsh's theorem for the Dunkl transform in the space $\mathrm{L}_{\alpha}^{2}(\mathbb{R})$
R.
Daher
Department of Mathematics, Faculty of Science Ain Chick, University Hassan II, Casablanca, Morocco
author
M.
El Hamma
Department of Mathematics, Faculty of Science Ain Chick, University Hassan II, Casablanca, Morocco
author
text
article
2012
eng
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 $\mathrm{L}_{2,\alpha}=\mathrm{L}_{\alpha}^{2}(\mathbb{R})=\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx), \alpha>\frac{-1}{2}$.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
3
v.
1
no.
2012
55
60
https://ijnaa.semnan.ac.ir/article_48_09ab190d1ec72a1adc2dde5fead7614b.pdf
dx.doi.org/10.22075/ijnaa.2012.48
Application of He's homotopy perturbation method for solving Sivashinsky equation
M.
Ghasemi
Department of Applied Mathematics,
Faculty of Science, Shahrekord University, Shahrekord, P. O. Box
115, Iran.
author
A.
Davari
Department of Mathematics, University of Isfahan,
Isfahan, Iran.
author
M.
Fardi
Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran.
author
text
article
2012
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
3
v.
1
no.
2012
61
67
https://ijnaa.semnan.ac.ir/article_49_b4b149fad220932afa0071fab8ba37a5.pdf
dx.doi.org/10.22075/ijnaa.2012.49
Coupled systems of equations with entire and polynomial functions
M.
Gil
Department of Mathematics,
Ben Gurion University of the Negev
author
text
article
2012
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
3
v.
1
no.
2012
68
73
https://ijnaa.semnan.ac.ir/article_50_7301f14535c96830f92b2d46fcdbf727.pdf
dx.doi.org/10.22075/ijnaa.2012.50