Coupled Fixed Points for Meir-Keeler Contractions in Ordered Partial Metric Spaces

被引:38
作者
Abdeljawad, Thabet [2 ]
Aydi, Hassen [3 ]
Karapinar, Erdal [1 ]
机构
[1] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
[2] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
[3] Univ Sousse, Inst Super Informat & Technol Commun Hammam Souss, H Sousse 4011, Tunisia
关键词
INTEGRODIFFERENTIAL-SYSTEMS; GENERALIZED CONTRACTIONS; THEOREMS; CONTROLLABILITY; EXISTENCE; OPERATORS; SETS;
D O I
10.1155/2012/327273
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we prove the existence and uniqueness of a new Meir-Keeler type coupled fixed point theorem for two mappings F : X x X -> X and g : X -> X on a partially ordered partial metric space. We present an application to illustrate our obtained results. Further, we remark that the metric case of our results proved recently in Gordji et al. (2012) have gaps. Therefore, our results revise and generalize some of those presented in Gordji et al. (2012)
引用
收藏
页数:20
相关论文
共 53 条
[1]   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
[2]   A generalized contraction principle with control functions on partial metric spaces [J].
Abdeljawad, Thabet ;
Karapinar, Erdal ;
Tas, Kenan .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (03) :716-719
[3]   Fixed points for generalized weakly contractive mappings in partial metric spaces [J].
Abdeljawad, Thabet .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (11-12) :2923-2927
[4]   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
[5]   Fixed Point Theorems for Monotone Mappings on Partial Metric Spaces [J].
Altun, Ishak ;
Erduran, Ali .
FIXED POINT THEORY AND APPLICATIONS, 2011,
[6]   Generalized contractions on partial metric spaces [J].
Altun, Ishak ;
Sola, Ferhan ;
Simsek, Hakan .
TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (18) :2778-2785
[7]  
[Anonymous], 2011, J NONLINEAR SCI APPL
[8]  
[Anonymous], 2011, J NONLINEAR ANAL OPT
[9]  
[Anonymous], DEMONSTRATI IN PRESS
[10]  
[Anonymous], 2012, INT J MATH STAT