]>
2012
5
1
ISSN 2008-1898
72
Coupled common fixed point results in ordered G-metric spaces
Coupled common fixed point results in ordered G-metric spaces
en
en
In the present paper, we prove coupled common fixed point theorems in the setting of a partially ordered
G-metric space in the sense of Z. Mustafa and B. Sims. Examples are given to support the usability of our
results and to distinguish them from the existing ones.
1
13
Hemant Kumar
Nashine
Department of Mathematics
Disha Institute of Management and Technology
India
drhknashine@gmail.com
Coupled fixed point
Coupled common fixed point
G-metric space
Mixed g-monotone property
Partial order
Commuting maps.
Article.1.pdf
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]
Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to a partial functional differential equation in Banach spaces
Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to a partial functional differential equation in Banach spaces
en
en
In this paper we prove some existence and uniqueness results for pseudo almost automorphic and weighted
pseudo almost automorphic mild solutions to a class of partial functional differential equation in Banach
spaces. The main technique is based upon some appropriate composition theorems combined with the
Banach contraction mapping principle and fractional powers of operators.
14
26
Yong-Kui
Chang
Department of Mathematics
Lanzhou Jiaotong University
China
lzchangyk@163.com
Zhi-Han
Zhao
Institute of Mathematics and Information Engineering
Sanming University
China
zhaozhihan841110@126.com
Juan J.
Nieto
Departamento de Análisis Matemático, Facultad de Matemáticas
Universidad de Santiago de Compostela
Spain
juanjose.nieto.roig@usc.es
Zhi-Wei
Liu
Department of Mathematics
Lanzhou Jiaotong University
China
lzw9981@yeah.net
Pseudo almost automorphic
Weighted pseudo almost automorphic
Partial functional differential equations
Fractional powers of operators.
Article.2.pdf
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]
Solvability of multi-point boundary value problems on the half-line
Solvability of multi-point boundary value problems on the half-line
en
en
In this work, using the Leray-Schauder continuation principle, we study the existence of at least one solution
to the quasilinear second-order multi-point boundary value problems on the half-line.
27
33
Chan-Gyun
Kim
Department of Mathematics
Pusan National University
Korea
cgkim75@pusan.ac.kr
Solvability
m-point boundary value problem
p-Laplacian
half-line
Article.3.pdf
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S. Liang, J. Zhang, Positive solutions for singular third order boundary value problem with dependence on the first order derivative on the half-line, Acta Appl. Math., 111 (2010), 27-43
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S. Liang, J. Zhang, Z. Wang, The existence of multiple positive solutions for multi-point boundary value problems on the half-line, J. Comput. Appl. Math., 228 (2009), 10-19
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Y. Liu , Existence and unboundedness of positive solutions for singular boundary value problems on half-line, Appl. Math. Comput., 144 (2003), 543-556
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J. Xu, Z. Yang, Positive solutions for singular Sturm-Liouville boundary value problems on the half line, Electron. J. Differential Equations, 171 (2010), 1-8
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X. Zhang, Successive iteration and positive solutions for a second-order multi-point boundary value problem on a half-line, Comput. Math. Appl., 58 (2009), 528-535
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]
Orthogonal stability of a cubic-quartic functional equation
Orthogonal stability of a cubic-quartic functional equation
en
en
Using fixed point method, we prove the Hyers-Ulam stability of the orthogonally cubic-quartic functional
equation
\[f(2x + y) + f(2x - y) = 3f(x + y) + f(-x - y) + 3f(x - y) + f(y - x)
+ 18f(x) + 6f(-x) - 3f(y) - 3f(-y)\quad (1)\]
for all \(x, y\) with \(x \perp y\).
28
36
Choonkil
Park
Department of Mathematics
Hanyang University
Korea
baak@hanyang.ac.kr
Hyers-Ulam stability
orthogonally cubic-quartic functional equation
fixed point
orthogonality space.
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A generalization of Banachs contraction principle for nonlinear contraction in a partial metric space
A generalization of Banachs contraction principle for nonlinear contraction in a partial metric space
en
en
We establish a fixed point theorem for nonlinear contraction in a complete partial metric space. Our result
generalizes the Banach type fixed point theorem in a partial metric space in the sense of Matthews.
37
43
Wasfi
Shatanawi
Department of Mathematics
Hashemite University
Jordan
swasfi@maktoob.com
Hemant Kumar
Nashine
Department of Mathematics
Disha Institute of Management and Technology
India
drhknashine@gmail.com
Partial metric space
Banach principle
Fixed Point Theory.
Article.5.pdf
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]
Existence of positive solutions of singular \(p\)-Laplacian equations in a ball
Existence of positive solutions of singular \(p\)-Laplacian equations in a ball
en
en
In this paper, we investigate singular \(p\)-Laplacian equations of the form \(\Delta _pu + f(x,\nabla u)u^{-\lambda} = 0\) with zero
Dirichlet boundary condition in a ball \(B \subset R^N\); where \(p > 1, \lambda > 0\), and give a sufficient condition for the
equation to have a positive solution, by means of a supersolution and a subsolution.
44
55
Fang
Li
Institute of Mathematics, School of Mathematical Sciences
Nanjing Normal University
China
lifang101216@126.com
Zuodong
Yang
College of Zhongbei
Institute of Mathematics, School of Mathematical Sciences
Nanjing Normal University
Nanjing Normal University
China
China
zdyang_jin@263.net
Positive solution
singular equation
supersolution and subsolution.
Article.6.pdf
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]
Hybrid algorithm for an \(\alpha\)-nonexpansive mapping in a Banach space
Hybrid algorithm for an \(\alpha\)-nonexpansive mapping in a Banach space
en
en
In this paper, we prove strong convergence theorem by the hybrid method for an \(\alpha\)-nonexpansive mapping
in a Banach space. Our results complement and enrich the research contents of \(\alpha\)-nonexpansive mapping.
Simultaneously, our main result generalizes Takahashi, Takeuchi, Kubota's result[W. Takahashi, Y. Takeuchi
, R. Kubota, J. Math. Anal. Appl. 341 (2008) 276-286].
56
63
Zi-Ming
Wang
Department of Foundation
Shandong Yingcai University
P. R. China
wangziming1983@yahoo.com.cn
Yongfu
Su
Department of Mathematics
Tianjin Polytechnic University
P. R. China
suyongfu@tjpu.edu.cn
Jinlong
Kang
Department of Foundation
Xi'an Communication of Institute
P. R. China
kangjinlong1979@yahoo.cn
\(\alpha\)-nonexpansive mapping
\(\alpha\)-mean-asymptotically-nonexpansive mapping
Hybrid algorithm
Fixed point
Banach space.
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W. Takahashi, Y. Takeuchi, R. Kubota , Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces, J. Math. Anal. Appl. , 341 (2008), 276-286
]
Solvability of a two-point fractional boundary value problem
Solvability of a two-point fractional boundary value problem
en
en
The aim of this paper is the study of the existence and uniqueness of solutions for a two-point fractional
boundary value problem, by means of Banach contraction principle and Leray Schauder nonlinear alternative.
Some examples are given.
64
73
Assia
Guezane-Lakoud
Laboratory of Advanced Materials, Faculty of Sciences
Badji Mokhtar-Annaba University
Algeria
a_guezane@yahoo.fr
Rabah
Khaldi
Laboratory LASEA. Faculty of Sciences
Badji Mokhtar-Annaba University
Algeria
rkhadi@yahoo.fr
Fractional Caputo derivative
Banach Contraction principle
Leray Schauder nonlinear alternative.
Article.8.pdf
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]