Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
1
2012
01
01
Fixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result
1
8
EN
A
Erduran
Department of Mathematics, Faculty of Science and Arts, Kirikkale Univer-
sity, 71450 Yahsihan, Kirikkale, Turkey
I.
Altun
Department of Mathematics, Faculty of Science and Arts, Kirikkale Univer-
sity, 71450 Yahsihan, Kirikkale, Turkey
10.22075/ijnaa.2012.33
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
https://ijnaa.semnan.ac.ir/article_33.html
https://ijnaa.semnan.ac.ir/article_33_5d27d2d7815f20f0b239f934a9ef2bef.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
1
2012
01
01
Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings
9
16
EN
P.
Yatakoat
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
S.
Suantai
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
10.22075/ijnaa.2012.35
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
https://ijnaa.semnan.ac.ir/article_35.html
https://ijnaa.semnan.ac.ir/article_35_cc8eb19482ddfa3a8c2957b6c9ae79b0.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
1
2012
01
01
A unique common fixed point theorem for six maps in g-metric spaces
17
23
EN
K. P. R.
Rao
Department of Applied Mathematics, Acharya Nagarjuna University-Dr. M.R.
Appa Row Campus, Nuzvid-521 201, Andhra Pradesh, India
K. B.
Lakshmi
Department of Applied Mathematics, Acharya Nagarjuna University-Dr. M.R.
Appa Row Campus, Nuzvid-521 201, Andhra Pradesh, India
Z.
Mustafa
Department of Mathematics, The Hashemite University, P.O. 330127, Zarqa 13115, Jordan
10.22075/ijnaa.2012.37
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
https://ijnaa.semnan.ac.ir/article_37.html
https://ijnaa.semnan.ac.ir/article_37_3186ecfa468d8087bed847669f25a299.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
1
2012
01
01
Common fixed point of generalized ($psi$-$varphi$)-weak contraction mappings
24
30
EN
S.
Moradi
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-
8-8349, Iran.
E.
Analoei
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-
8-8349, Iran.
10.22075/ijnaa.2012.38
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
https://ijnaa.semnan.ac.ir/article_38.html
https://ijnaa.semnan.ac.ir/article_38_bc12a81ea379a60d40d09280eee88e42.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
1
2012
01
01
On the fine spectra of the Zweier matrix as an operator over the weighted sequence space $l_{p}(w)$
31
39
EN
R.
Lashkaripour
Department of Mathematic, Faculty of Mathematics, University of Sistan and
Baluchestan, Zahedan, Iran.
J.
Fathi
Department of Mathematic, Faculty of Mathematics, University of Sistan and
Baluchestan, Zahedan, Iran.
10.22075/ijnaa.2012.42
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
https://ijnaa.semnan.ac.ir/article_42.html
https://ijnaa.semnan.ac.ir/article_42_da5de63049690b6304c4d6ef0a6ae203.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
1
2012
01
01
On the approximate solution of Hosszus functional equation
40
44
EN
B.
Bouikhalene
Laboratory LIRST, Polydisciplinary Faculty, Departement of Mathematics,
University Sultan Moulay Slimane, Beni-Mellal Morocco
J. M.
Rassias
National and Capodistrian University of Athens, Section of Mathematics and
Informatics, 4, Agamemnonos Str., Aghia Paraskevi, Athens 15342, Greece
A.
Charifi
Faculty of sciences, Departement of Mathematics, University of Ibn Tofail,
Kenitra, Morocco
S.
Kabbaj
Faculty of sciences, Departement of Mathematics, University of Ibn Tofail,
Kenitra, Morocco
10.22075/ijnaa.2012.45
We show that every approximate solution of the Hosszu's functional equation<br />$$f(x + y + xy) = f(x) + f(y) + f(xy) text{for any} x, yin mathbb{R},$$<br />is an additive function and also we investigate the Hyers-Ulam stability of this equation in the following setting<br />$$|f(x + y + xy) - f(x) - f(y) - f(xy)|leqdelta + varphi(x; y)$$<br />for any $x, yin mathbb{R}$ and $delta > 0$.
Additive function,Hosszu's functional equation,Hyers-Ulam stability
https://ijnaa.semnan.ac.ir/article_45.html
https://ijnaa.semnan.ac.ir/article_45_05a87c012c6971554afb7ebdaa886d7d.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
1
2012
01
01
Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm
45
54
EN
A. R.
Moazzen
Dept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.
R.
Lashkaripour
Dept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.
10.22075/ijnaa.2012.46
Let $A=(a_{n,k})_{n,kgeq1}$ and $B=(b_{n,k})_{n,kgeq1}$ be two non-negative matrices. Denote by $L_{v,p,q,B}(A)$, the supremum of those $L$, satisfying the following inequality:<br />$$|Ax|_{v,B(q)}geq L|x|_{v,B(p)},$$<br />where $xgeq 0$ 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 $pgeq 1$, we obtain $L_{v,p,q,B}(A)$.
Lower bound,Weighted block sequence space,Hausdorff matrices,Euler matrices,Cesaro matrices,Matrix norm
https://ijnaa.semnan.ac.ir/article_46.html
https://ijnaa.semnan.ac.ir/article_46_a875762021951bf010efadf9db780be0.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
1
2012
01
01
An analog of Titchmarsh's theorem for the Dunkl transform in the space $mathrm{L}_{alpha}^{2}(mathbb{R})$
55
60
EN
R.
Daher
Department of Mathematics, Faculty of Science Ain Chick, University Hassan II, Casablanca, Morocco
M.
El Hamma
Department of Mathematics, Faculty of Science Ain Chick, University Hassan II, Casablanca, Morocco
10.22075/ijnaa.2012.48
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
https://ijnaa.semnan.ac.ir/article_48.html
https://ijnaa.semnan.ac.ir/article_48_09ab190d1ec72a1adc2dde5fead7614b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
1
2012
01
01
Application of He's homotopy perturbation method for solving Sivashinsky equation
61
67
EN
M.
Ghasemi
Department of Applied Mathematics,
Faculty of Science, Shahrekord University, Shahrekord, P. O. Box
115, Iran.
A.
Davari
Department of Mathematics, University of Isfahan,
Isfahan, Iran.
M.
Fardi
Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran.
10.22075/ijnaa.2012.49
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
https://ijnaa.semnan.ac.ir/article_49.html
https://ijnaa.semnan.ac.ir/article_49_b4b149fad220932afa0071fab8ba37a5.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
3
1
2012
01
01
Coupled systems of equations with entire and polynomial functions
68
73
EN
M.
Gil
Department of Mathematics,
Ben Gurion University of the Negev
10.22075/ijnaa.2012.50
We consider the coupled system $F(x,y)=G(x,y)=0$, where<br />$$<br />F(x, y)=sum_{k=0}^{m_1} A_k(y)x^{m_1-k} quad text{ and }quad G(x, y)=sum_{k=0}^{m_2} B_k(y)x^{m_2-k}<br />$$<br />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
https://ijnaa.semnan.ac.ir/article_50.html
https://ijnaa.semnan.ac.ir/article_50_7301f14535c96830f92b2d46fcdbf727.pdf