2012
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Fixed point theorems for weakly contractive mappings on gMetric spaces and a homotopy result
2
2
In this paper, we give some xed point theorems for 'weak contractivetype mappings on complete Gmetric space, which was given by Zaed andSims [1]. Also a homotopy result is given.
1

1
8


A
Erduran
Department of Mathematics, Faculty of Science and Arts, Kirikkale Univer
sity, 71450 Yahsihan, Kirikkale, Turkey.
Department of Mathematics, Faculty of Science
Iran


I.
Altun
Department of Mathematics, Faculty of Science and Arts, Kirikkale Univer
sity, 71450 Yahsihan, Kirikkale, Turkey.
Department of Mathematics, Faculty of Science
Iran
fixed point
weakly contractive maps
Gmetric space
Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonselfmappings
2
2
In this paper, we introduce and study a new iterative scheme toapproximate a common xed point for a nite family of generalized asymptoticallyquasinonexpansive nonselfmappings 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.
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9
16


P.
Yatakoat
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang
Mai 50200, Thailand
Department of Mathematics, Faculty of Science,
Iran


S.
Suantai
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang
Mai 50200, Thailand
Department of Mathematics, Faculty of Science,
Iran
Generalized asymptotically quasinonexpansive nonselfmappings
Common xed points
Weak and Strong convergence
A unique common fixed point theorem for six maps in gmetric spaces
2
2
In this paper we obtain a unique common xed point theorem for sixweakly compatible mappings in Gmetric spaces.
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17
23


K. P. R.
Rao
Department of Applied Mathematics, Acharya Nagarjuna UniversityDr.M.R.
Appa Row Campus, Nuzvid521 201,Andhra Pradesh,India
Department of Applied Mathematics, Acharya
Iran


K. B.
Lakshmi
Department of Applied Mathematics, Acharya Nagarjuna UniversityDr.M.R.
Appa Row Campus, Nuzvid521 201,Andhra Pradesh,India
Department of Applied Mathematics, Acharya
Iran


Z.
Mustafa
Department of Mathematics, The Hashemite University, P.O. 330127, Zarqa
13115,Jordan
Department of Mathematics, The Hashemite
Iran
Gmetric
Common xed points
compatible mappings
Common fixed point of generalized ($psi$$varphi$)weak contraction mappings
2
2
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).
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24
30


S.
Moradi
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156
88349, Iran.
Department of Mathematics, Faculty of Science,
Iran


E.
Analoei
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156
88349, Iran.
Department of Mathematics, Faculty of Science,
Iran
fixed point
coincidence point
weakly compatible
On the fine spectra of the Zweier matrix as an operator over the weighted sequence space $l_{p}(w)$
2
2
In the present paper, the ne spectrum of the Zweier matrix as anoperator over the weighted sequence space `p(w); have been examined.
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31
39


R.
Lashkaripour
Department of Mathematic, Faculty of Mathematics, University of Sistan and
Baluchestan, Zahedan, Iran.
Department of Mathematic, Faculty of Mathematics,
Iran


J.
Fathi
Department of Mathematic, Faculty of Mathematics, University of Sistan and
Baluchestan, Zahedan, Iran.
Department of Mathematic, Faculty of Mathematics,
Iran
Spectrum of an operator
matrix mapping
Zweier matrix
weighted sequence space
On the approximate solution of Hosszus
functional equation
2
2
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 HyersUlam 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.
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40
44


B.
Bouikhalene
Laboratory LIRST, Polydisciplinary Faculty, Departement of Mathematics,
University Sultan Moulay Slimane, BeniMellal Morocco.
Laboratory LIRST, Polydisciplinary Faculty,
Iran


J. M.
Rassias
National and Capodistrian University of Athens, Section of Mathematics and
Informatics, 4, Agamemnonos Str., Aghia Paraskevi, Athens 15342, Greece.
National and Capodistrian University of Athens,
Iran


A.
Charifi
Faculty of sciences, Departement of Mathematics, University of Ibn Tofail,
Kenitra, Morocco.
Faculty of sciences, Departement of Mathematics,
Iran


S.
Kabbaj
Faculty of sciences, Departement of Mathematics, University of Ibn Tofail,
Kenitra, Morocco.
Faculty of sciences, Departement of Mathematics,
Iran
Additive function
Hosszu's functional equation
HyersUlam stability
Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm
2
2
Let A = (an;k)n;k1 and B = (bn;k)n;k1 be two nonnegative matrices. 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, nonnegativesequence of real numbers. In this paper, we obtain a Hardytype 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).
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45
54


A. R.
Moazzen
Dept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.
Dept. of Math.,University of Sistan and Baluchesta
Iran


R.
Lashkaripour
Dept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.
Dept. of Math.,University of Sistan and Baluchesta
Iran
Lower bound
Weighted block sequence space
Hausdor matrices
Euler matrices
Cesaro matrices
Matrix norm
An analog of Titchmarsh's theorem for the Dunkl transform in the space $mathrm{L}_{alpha}^{2}(mathbb{R})$
2
2
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 LipschitzDunkl condition in $mathrm{L}_{2,alpha}=mathrm{L}_{alpha}^{2}(mathbb{R})=mathrm{L}^{2}(mathbb{R}, x^{2alpha+1}dx), alpha>frac{1}{2}$.
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55
60


R.
Daher
Department of Mathematics, Faculty of Science Ain Chick, University Hassan II, Casablanca, Morocco
Department of Mathematics, Faculty of Science
Iran


M.
El Hamma
Department of Mathematics, Faculty of Science Ain Chick, University Hassan II, Casablanca, Morocco
Department of Mathematics, Faculty of Science
Iran
Dunkl operator
Dunkl transform
generalized Dunkl translation
Application of He's homotopy perturbation
method for solving Sivashinsky equation
2
2
In this paper, the solution of the evolutionaryfourthorder 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.
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61
67


M.
Ghasemi
Department of Applied Mathematics,
Faculty of Science, Shahrekord University, Shahrekord, P. O. Box
115, Iran.
Department of Applied Mathematics,
Faculty
Iran


A.
Davari
Department of Mathematics, University of Isfahan,
Isfahan, Iran.
Department of Mathematics, University of
Iran


M.
Fardi
Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran.
Department of Mathematics, Islamic Azad University
Iran
Homotopy perturbation method
Sivashinsky equation
Coupled systems of equations with entire and polynomial functions
2
2
We consider the coupled system$F(x,y)=G(x,y)=0$,where$$F(x, y)=bs 0 {m_1} A_k(y)x^{m_1k}mbox{ and } G(x, y)=bs 0 {m_2} B_k(y)x^{m_2k}$$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.
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68
73


M.
Gil
Department of Mathematics,
Ben Gurion University of the Negev
Department of Mathematics,
Ben Gurion University
Iran
coupled systems
entire and polynomial functions
a priory estimates
resultant