Coupled Fixed-Point Theorems for Contractions in Partially Ordered Metric Spaces and Applications

被引：11
|
作者：
Gordji, M. Eshaghi [1 ]
Cho, Y. J. [2 ,3 ]
Ghods, S. [4 ]
Ghods, M. [5 ]
Dehkordi, M. Hadian [5 ]
机构：
[1] Semnan Univ, Dept Math, Semnan, Iran
[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[4] Islamic Azad Univ, Semnan Branch, Dept Math, Semnan, Iran
[5] Iran Univ Sci & Technol, Dept Math, Tehran, Iran
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2012年 / 2012卷
基金：
新加坡国家研究基金会;
关键词：
D O I：
10.1155/2012/150363
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Bhaskar and Lakshmikantham (2006) showed the existence of coupled coincidence points of a mapping F from X x X into X and a mapping g from X into X with some applications. The aim of this paper is to extend the results of Bhaskar and Lakshmikantham and improve the recent fixed-point theorems due to Bessem Samet (2010). Indeed, we introduce the definition of generalized g-Meir-Keeler type contractions and prove some coupled fixed point theorems under a generalized g-Meir-Keeler-contractive condition. Also, some applications of the main results in this paper are given.
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页数：20
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