ORIGINAL_ARTICLE
Fixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result
In this paper, we give some xed point theorems for '-weak contractivetype mappings on complete G-metric space, which was given by Zaed andSims [1]. Also a homotopy result is given.
https://ijnaa.semnan.ac.ir/article_33_5d27d2d7815f20f0b239f934a9ef2bef.pdf
2012-01-01
1
8
10.22075/ijnaa.2012.33
Fixed point
weakly contractive maps
G-metric space
A
Erduran
1
Department of Mathematics, Faculty of Science and Arts, Kirikkale Univer- sity, 71450 Yahsihan, Kirikkale, Turkey.
AUTHOR
I.
Altun
2
Department of Mathematics, Faculty of Science and Arts, Kirikkale Univer- sity, 71450 Yahsihan, Kirikkale, Turkey.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings
In this paper, we introduce and study a new iterative scheme toapproximate a common xed point for a nite family of generalized asymptoticallyquasi-nonexpansive nonself-mappings 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.
https://ijnaa.semnan.ac.ir/article_35_cc8eb19482ddfa3a8c2957b6c9ae79b0.pdf
2012-01-01
9
16
10.22075/ijnaa.2012.35
Generalized asymptotically quasi-nonexpansive nonself-mappings
Common xed points
Weak and Strong convergence
P.
Yatakoat
1
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
AUTHOR
S.
Suantai
2
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
LEAD_AUTHOR
ORIGINAL_ARTICLE
A unique common fixed point theorem for six maps in g-metric spaces
In this paper we obtain a unique common xed point theorem for sixweakly compatible mappings in G-metric spaces.
https://ijnaa.semnan.ac.ir/article_37_3186ecfa468d8087bed847669f25a299.pdf
2012-01-01
17
23
10.22075/ijnaa.2012.37
G-metric
Common xed points
Compatible mappings
K. P. R.
Rao
1
Department of Applied Mathematics, Acharya Nagarjuna University-Dr.M.R. Appa Row Campus, Nuzvid-521 201,Andhra Pradesh,India
LEAD_AUTHOR
K. B.
Lakshmi
2
Department of Applied Mathematics, Acharya Nagarjuna University-Dr.M.R. Appa Row Campus, Nuzvid-521 201,Andhra Pradesh,India
AUTHOR
Z.
Mustafa
3
Department of Mathematics, The Hashemite University, P.O. 330127, Zarqa 13115,Jordan
AUTHOR
ORIGINAL_ARTICLE
Common fixed point of generalized ($\psi$-$\varphi$)-weak contraction mappings
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).
https://ijnaa.semnan.ac.ir/article_38_bc12a81ea379a60d40d09280eee88e42.pdf
2012-01-01
24
30
10.22075/ijnaa.2012.38
Fixed point
Coincidence point
weakly compatible
S.
Moradi
1
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156- 8-8349, Iran.
LEAD_AUTHOR
E.
Analoei
2
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156- 8-8349, Iran.
AUTHOR
ORIGINAL_ARTICLE
On the fine spectra of the Zweier matrix as an operator over the weighted sequence space $l_{p}(w)$
In the present paper, the ne spectrum of the Zweier matrix as anoperator over the weighted sequence space `p(w); have been examined.
https://ijnaa.semnan.ac.ir/article_42_da5de63049690b6304c4d6ef0a6ae203.pdf
2012-01-01
31
39
10.22075/ijnaa.2012.42
Spectrum of an operator
matrix mapping
Zweier matrix
weighted
sequence space
R.
Lashkaripour
1
Department of Mathematic, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
AUTHOR
J.
Fathi
2
Department of Mathematic, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
On the approximate solution of Hosszus
functional equation
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 Hyers-Ulam 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.
https://ijnaa.semnan.ac.ir/article_45_05a87c012c6971554afb7ebdaa886d7d.pdf
2012-01-01
40
44
10.22075/ijnaa.2012.45
Additive function
Hosszu's functional equation
Hyers-Ulam stability
B.
Bouikhalene
1
Laboratory LIRST, Polydisciplinary Faculty, Departement of Mathematics, University Sultan Moulay Slimane, Beni-Mellal Morocco.
AUTHOR
J. M.
Rassias
2
National and Capodistrian University of Athens, Section of Mathematics and Informatics, 4, Agamemnonos Str., Aghia Paraskevi, Athens 15342, Greece.
LEAD_AUTHOR
A.
Charifi
3
Faculty of sciences, Departement of Mathematics, University of Ibn Tofail, Kenitra, Morocco.
AUTHOR
S.
Kabbaj
4
Faculty of sciences, Departement of Mathematics, University of Ibn Tofail, Kenitra, Morocco.
AUTHOR
ORIGINAL_ARTICLE
Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm
Let A = (an;k)n;k1 and B = (bn;k)n;k1 be two non-negative ma-trices. 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, non-negativesequence of real numbers. In this paper, we obtain a Hardy-type 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).
https://ijnaa.semnan.ac.ir/article_46_a875762021951bf010efadf9db780be0.pdf
2012-01-01
45
54
10.22075/ijnaa.2012.46
Lower bound
Weighted block sequence space
Hausdor matrices
Euler matrices
Cesaro matrices
Matrix norm
A. R.
Moazzen
1
Dept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.
LEAD_AUTHOR
R.
Lashkaripour
2
Dept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.
AUTHOR
ORIGINAL_ARTICLE
An analog of Titchmarsh's theorem for the Dunkl transform in the space $mathrm{L}_{alpha}^{2}(mathbb{R})$
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 $mathrm{L}_{2,alpha}=mathrm{L}_{alpha}^{2}(mathbb{R})=mathrm{L}^{2}(mathbb{R}, |x|^{2alpha+1}dx), alpha>frac{-1}{2}$.
https://ijnaa.semnan.ac.ir/article_48_09ab190d1ec72a1adc2dde5fead7614b.pdf
2012-01-01
55
60
10.22075/ijnaa.2012.48
Dunkl operator
Dunkl transform
generalized Dunkl translation
R.
Daher
1
Department of Mathematics, Faculty of Science Ain Chick, University Hassan II, Casablanca, Morocco
AUTHOR
M.
El Hamma
2
Department of Mathematics, Faculty of Science Ain Chick, University Hassan II, Casablanca, Morocco
LEAD_AUTHOR
ORIGINAL_ARTICLE
Application of He's homotopy perturbation
method for solving Sivashinsky equation
In this paper, the solution of the evolutionaryfourth-order 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.
https://ijnaa.semnan.ac.ir/article_49_b4b149fad220932afa0071fab8ba37a5.pdf
2012-01-01
61
67
10.22075/ijnaa.2012.49
Homotopy perturbation method
Sivashinsky equation
M.
Ghasemi
1
Department of Applied Mathematics, Faculty of Science, Shahrekord University, Shahrekord, P. O. Box 115, Iran.
LEAD_AUTHOR
A.
Davari
2
Department of Mathematics, University of Isfahan, Isfahan, Iran.
AUTHOR
M.
Fardi
3
Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran.
AUTHOR
ORIGINAL_ARTICLE
Coupled systems of equations with entire and polynomial functions
We consider the coupled system$F(x,y)=G(x,y)=0$,where$$F(x, y)=bs 0 {m_1} A_k(y)x^{m_1-k}mbox{ and } G(x, y)=bs 0 {m_2} B_k(y)x^{m_2-k}$$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.
https://ijnaa.semnan.ac.ir/article_50_7301f14535c96830f92b2d46fcdbf727.pdf
2012-01-01
68
73
10.22075/ijnaa.2012.50
coupled systems
entire and polynomial functions
a priory estimates
resultant
M.
Gil
1
Department of Mathematics, Ben Gurion University of the Negev
LEAD_AUTHOR