Coupled fixed point results for (ψ, φ)-weakly contractive condition in ordered partial metric spaces

被引:137
作者
Aydi, Hassen [1 ]
Karapinar, Erdal [2 ]
Shatanawi, Wasfi [3 ]
机构
[1] Univ Monastir, Inst Super Informat Mahdia, Km 4,BP 35, Mahdia 5121, Tunisia
[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
[3] Hashemite Univ, Dept Math, Zarqa, Jordan
关键词
Partially ordered; Partial metrics; Coupled fixed point; Mixed monotone property; NONLINEAR CONTRACTIONS; THEOREMS; SETS;
D O I
10.1016/j.camwa.2011.10.021
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove some coupled fixed point theorems involving a (psi, phi)-weakly contractive condition for mapping having the mixed monotone property in ordered partial metric spaces. These results are analogous to theorems of Van Luong and Xuan Thuan (2011) [10] on the class of ordered partial metric spaces. Also, an application is given to support our results. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:4449 / 4460
页数:12
相关论文
共 44 条
[1]   Tripled Fixed Points of Multivalued Nonlinear Contraction Mappings in Partially Ordered Metric Spaces [J].
Abbas, Mujahid ;
Aydi, Hassen ;
Karapinar, Erdal .
ABSTRACT AND APPLIED ANALYSIS, 2011,
[2]   Existence and uniqueness of a common fixed point on partial metric spaces [J].
Abdeljawad, T. ;
Karapinar, E. ;
Tas, K. .
APPLIED MATHEMATICS LETTERS, 2011, 24 (11) :1900-1904
[3]   Generalized contractions in partially ordered metric spaces [J].
Agarwal, Ravi P. ;
El-Gebeily, M. A. ;
O'Regan, Donal .
APPLICABLE ANALYSIS, 2008, 87 (01) :109-116
[4]   Some Fixed Point Theorems on Ordered Metric Spaces and Application [J].
Altun, Ishak ;
Simsek, Hakan .
FIXED POINT THEORY AND APPLICATIONS, 2010,
[5]   Generalized contractions on partial metric spaces [J].
Altun, Ishak ;
Sola, Ferhan ;
Simsek, Hakan .
TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (18) :2778-2785
[6]   A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations [J].
Amini-Harandi, A. ;
Emami, H. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) :2238-2242
[7]  
Aydi H., 2011, J NONLINEAR IN PRESS
[8]  
Aydi H., INT J MATH MATH SCI, V2011, P11
[9]  
Aydi H., 2011, J ADV MATH STUD, V4
[10]  
Aydi H., 2012, INT J MATH STAT, V12