ORIGINAL_ARTICLE
Fixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result
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.
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 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.
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 fixed point theorem for six weakly 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 fixed 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 $f,g : X \to X$ 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).
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 fine spectrum of the Zweier matrix as an operator over the weighted sequence space $\ell_p(w)$, has 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 functional equation$$f(x + y + xy) = f(x) + f(y) + f(xy) \ \text{for any}\ x, y\in \mathbb{R},$$is an additive function and also we investigate the Hyers-Ulam stability of this equation in the following setting$$|f(x + y + xy) - f(x) - f(y) - f(xy)|\leq\delta + \varphi(x; y)$$for any $x, y\in \mathbb{R}$ and $\delta > 0$.
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 $A=(a_{n,k})_{n,k\geq1}$ and $B=(b_{n,k})_{n,k\geq1}$ be two non-negative matrices. Denote by $L_{v,p,q,B}(A)$, the supremum of those $L$, satisfying the following inequality:$$\|Ax\|_{v,B(q)}\geq L\|x\|_{v,B(p)},$$where $x\geq 0$ 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 $p\geq 1$, we obtain $L_{v,p,q,B}(A)$.
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
Hausdorff 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 $\mathrm{L}_{2,\alpha}=\mathrm{L}_{\alpha}^{2}(\mathbb{R})=\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx), \alpha>\frac{-1}{2}$.
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 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.
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$$F(x, y)=\sum_{k=0}^{m_1} A_k(y)x^{m_1-k} \quad \text{ and }\quad G(x, y)=\sum_{k=0}^{m_2} B_k(y)x^{m_2-k}$$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.
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