eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2012-01-01
3
1
1
8
10.22075/ijnaa.2012.33
33
Fixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result
A Erduran
1
I. Altun
2
Department of Mathematics, Faculty of Science and Arts, Kirikkale Univer- sity, 71450 Yahsihan, Kirikkale, Turkey.
Department of Mathematics, Faculty of Science and Arts, Kirikkale Univer- sity, 71450 Yahsihan, Kirikkale, Turkey.
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.
http://ijnaa.semnan.ac.ir/article_33_5d27d2d7815f20f0b239f934a9ef2bef.pdf
Fixed point
weakly contractive maps
G-metric space
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2012-01-01
3
1
9
16
10.22075/ijnaa.2012.35
35
Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings
P. Yatakoat
1
S. Suantai
2
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
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.
http://ijnaa.semnan.ac.ir/article_35_cc8eb19482ddfa3a8c2957b6c9ae79b0.pdf
Generalized asymptotically quasi-nonexpansive nonself-mappings
Common xed points
Weak and Strong convergence
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2012-01-01
3
1
17
23
10.22075/ijnaa.2012.37
37
A unique common fixed point theorem for six maps in g-metric spaces
K. P. R. Rao
1
K. B. Lakshmi
2
Z. Mustafa
3
Department of Applied Mathematics, Acharya Nagarjuna University-Dr.M.R. Appa Row Campus, Nuzvid-521 201,Andhra Pradesh,India
Department of Applied Mathematics, Acharya Nagarjuna University-Dr.M.R. Appa Row Campus, Nuzvid-521 201,Andhra Pradesh,India
Department of Mathematics, The Hashemite University, P.O. 330127, Zarqa 13115,Jordan
In this paper we obtain a unique common xed point theorem for six<br />weakly compatible mappings in G-metric spaces.
http://ijnaa.semnan.ac.ir/article_37_3186ecfa468d8087bed847669f25a299.pdf
G-metric
Common xed points
Compatible mappings
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2012-01-01
3
1
24
30
10.22075/ijnaa.2012.38
38
Common fixed point of generalized ($psi$-$varphi$)-weak contraction mappings
S. Moradi
1
E. Analoei
2
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156- 8-8349, Iran.
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156- 8-8349, Iran.
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).
http://ijnaa.semnan.ac.ir/article_38_bc12a81ea379a60d40d09280eee88e42.pdf
Fixed point
Coincidence point
weakly compatible
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2012-01-01
3
1
31
39
10.22075/ijnaa.2012.42
42
On the fine spectra of the Zweier matrix as an operator over the weighted sequence space $l_{p}(w)$
R. Lashkaripour
1
J. Fathi
2
Department of Mathematic, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
Department of Mathematic, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
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.
http://ijnaa.semnan.ac.ir/article_42_da5de63049690b6304c4d6ef0a6ae203.pdf
Spectrum of an operator
matrix mapping
Zweier matrix
weighted
sequence space
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2012-01-01
3
1
40
44
10.22075/ijnaa.2012.45
45
On the approximate solution of Hosszus
functional equation
B. Bouikhalene
1
J. M. Rassias
2
A. Charifi
3
S. Kabbaj
4
Laboratory LIRST, Polydisciplinary Faculty, Departement of Mathematics, University Sultan Moulay Slimane, Beni-Mellal Morocco.
National and Capodistrian University of Athens, Section of Mathematics and Informatics, 4, Agamemnonos Str., Aghia Paraskevi, Athens 15342, Greece.
Faculty of sciences, Departement of Mathematics, University of Ibn Tofail, Kenitra, Morocco.
Faculty of sciences, Departement of Mathematics, University of Ibn Tofail, Kenitra, Morocco.
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.
http://ijnaa.semnan.ac.ir/article_45_05a87c012c6971554afb7ebdaa886d7d.pdf
Additive function
Hosszu's functional equation
Hyers-Ulam stability
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2012-01-01
3
1
45
54
10.22075/ijnaa.2012.46
46
Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm
A. R. Moazzen
1
R. Lashkaripour
2
Dept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.
Dept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.
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).
http://ijnaa.semnan.ac.ir/article_46_a875762021951bf010efadf9db780be0.pdf
Lower bound
Weighted block sequence space
Hausdor matrices
Euler matrices
Cesaro matrices
Matrix norm
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2012-01-01
3
1
55
60
10.22075/ijnaa.2012.48
48
An analog of Titchmarsh's theorem for the Dunkl transform in the space $mathrm{L}_{alpha}^{2}(mathbb{R})$
R. Daher
1
M. El Hamma
2
Department of Mathematics, Faculty of Science Ain Chick, University Hassan II, Casablanca, Morocco
Department of Mathematics, Faculty of Science Ain Chick, University Hassan II, Casablanca, Morocco
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 $mathrm{L}_{2,alpha}=mathrm{L}_{alpha}^{2}(mathbb{R})=mathrm{L}^{2}(mathbb{R}, |x|^{2alpha+1}dx), alpha>frac{-1}{2}$.
http://ijnaa.semnan.ac.ir/article_48_09ab190d1ec72a1adc2dde5fead7614b.pdf
Dunkl operator
Dunkl transform
generalized Dunkl translation
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2012-01-01
3
1
61
67
10.22075/ijnaa.2012.49
49
Application of He's homotopy perturbation
method for solving Sivashinsky equation
M. Ghasemi
1
A. Davari
2
M. Fardi
3
Department of Applied Mathematics, Faculty of Science, Shahrekord University, Shahrekord, P. O. Box 115, Iran.
Department of Mathematics, University of Isfahan, Isfahan, Iran.
Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran.
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.
http://ijnaa.semnan.ac.ir/article_49_b4b149fad220932afa0071fab8ba37a5.pdf
Homotopy perturbation method
Sivashinsky equation
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2012-01-01
3
1
68
73
10.22075/ijnaa.2012.50
50
Coupled systems of equations with entire and polynomial functions
M. Gil
1
Department of Mathematics, Ben Gurion University of the Negev
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.
http://ijnaa.semnan.ac.ir/article_50_7301f14535c96830f92b2d46fcdbf727.pdf
coupled systems
entire and polynomial functions
a priory estimates
resultant