2012
3
1
1
73
1

Fixed point theorems for weakly contractive mappings on gMetric spaces and a homotopy result
https://ijnaa.semnan.ac.ir/article_33.html
10.22075/ijnaa.2012.33
1
In this paper, we give some fixed point theorems for $varphi$weak contraction type mappings on complete Gmetric space, which was given by Zaed and Sims [1]. Also a homotopy result is given.
0

1
8


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


I.
Altun
Department of Mathematics, Faculty of Science and Arts, Kirikkale Univer
sity, 71450 Yahsihan, Kirikkale, Turkey
Turkey
Fixed point
weakly contractive maps
Gmetric space
1

Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonselfmappings
https://ijnaa.semnan.ac.ir/article_35.html
10.22075/ijnaa.2012.35
1
In this paper, we introduce and study a new iterative scheme to approximate a common fixed point for a finite family of generalized asymptotically quasinonexpansive nonselfmappings 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.
0

9
16


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


S.
Suantai
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Thailand
Generalized asymptotically quasinonexpansive nonselfmappings
Common xed points
Weak and Strong convergence
1

A unique common fixed point theorem for six maps in gmetric spaces
https://ijnaa.semnan.ac.ir/article_37.html
10.22075/ijnaa.2012.37
1
In this paper we obtain a unique common fixed point theorem for six weakly compatible mappings in Gmetric spaces.
0

17
23


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


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


Z.
Mustafa
Department of Mathematics, The Hashemite University, P.O. 330127, Zarqa 13115, Jordan
Jordan
Gmetric
common fixed points
Compatible mappings
1

Common fixed point of generalized ($psi$$varphi$)weak contraction mappings
https://ijnaa.semnan.ac.ir/article_38.html
10.22075/ijnaa.2012.38
1
Let $(X, d)$ be a complete metric space and let $f,g : X to X$ be two mappings which satisfy a ($psi$$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).
0

24
30


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


E.
Analoei
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156
88349, Iran.
Iran
Fixed point
Coincidence point
weakly compatible
1

On the fine spectra of the Zweier matrix as an operator over the weighted sequence space $l_{p}(w)$
https://ijnaa.semnan.ac.ir/article_42.html
10.22075/ijnaa.2012.42
1
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.
0

31
39


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


J.
Fathi
Department of Mathematic, Faculty of Mathematics, University of Sistan and
Baluchestan, Zahedan, Iran.
Iran
Spectrum of an operator
matrix mapping
Zweier matrix
weighted sequence space
1

On the approximate solution of Hosszus functional equation
https://ijnaa.semnan.ac.ir/article_45.html
10.22075/ijnaa.2012.45
1
We show that every approximate solution of the Hosszu's functional equation$$f(x + y + xy) = f(x) + f(y) + f(xy) text{for any} x, yin mathbb{R},$$is an additive function and also we investigate the HyersUlam stability of this equation in the following setting$$f(x + y + xy)  f(x)  f(y)  f(xy)leqdelta + varphi(x; y)$$for any $x, yin mathbb{R}$ and $delta > 0$.
0

40
44


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


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


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


S.
Kabbaj
Faculty of sciences, Departement of Mathematics, University of Ibn Tofail,
Kenitra, Morocco
Morocco
Additive function
Hosszu's functional equation
HyersUlam stability
1

Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm
https://ijnaa.semnan.ac.ir/article_46.html
10.22075/ijnaa.2012.46
1
Let $A=(a_{n,k})_{n,kgeq1}$ and $B=(b_{n,k})_{n,kgeq1}$ be two nonnegative matrices. Denote by $L_{v,p,q,B}(A)$, the supremum of those $L$, satisfying the following inequality:$$Ax_{v,B(q)}geq Lx_{v,B(p)},$$where $xgeq 0$ and $x in l_p(v,B)$ and also$v = (v_n)_{n=1}^infty$ is an increasing, nonnegative sequence of real numbers. In this paper, we obtain a Hardytype 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 $L_{v,p,q,B}(A)$.
0

45
54


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


R.
Lashkaripour
Dept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.
Iran
Lower bound
Weighted block sequence space
Hausdorff matrices
Euler matrices
Cesaro matrices
Matrix norm
1

An analog of Titchmarsh's theorem for the Dunkl transform in the space $mathrm{L}_{alpha}^{2}(mathbb{R})$
https://ijnaa.semnan.ac.ir/article_48.html
10.22075/ijnaa.2012.48
1
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 $mathrm{L}_{2,alpha}=mathrm{L}_{alpha}^{2}(mathbb{R})=mathrm{L}^{2}(mathbb{R}, x^{2alpha+1}dx), alpha>frac{1}{2}$.
0

55
60


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


M.
El Hamma
Department of Mathematics, Faculty of Science Ain Chick, University Hassan II, Casablanca, Morocco
Morocco
Dunkl operator
Dunkl transform
generalized Dunkl translation
1

Application of He's homotopy perturbation method for solving Sivashinsky equation
https://ijnaa.semnan.ac.ir/article_49.html
10.22075/ijnaa.2012.49
1
In this paper, the solution of the evolutionary fourthorder 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.
0

61
67


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


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


M.
Fardi
Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran.
Iran
Homotopy perturbation method
Sivashinsky equation
1

Coupled systems of equations with entire and polynomial functions
https://ijnaa.semnan.ac.ir/article_50.html
10.22075/ijnaa.2012.50
1
We consider the coupled system $F(x,y)=G(x,y)=0$, where$$F(x, y)=sum_{k=0}^{m_1} A_k(y)x^{m_1k} quad text{ and }quad G(x, y)=sum_{k=0}^{m_2} B_k(y)x^{m_2k}$$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.
0

68
73


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