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.

引用

页数：20

共 26 条

[1] Abbas M, 2011, J MATH INEQUAL, V5, P287
[2] Agarwal R. P., 2001, CAMB TRACT MATH, V141
[3] Generalized contractions in partially ordered metric spaces
Agarwal, Ravi P.
El-Gebeily, M. A.
O'Regan, Donal
[J]. APPLICABLE ANALYSIS, 2008, 87 (01) : 109 - 116
[4] Banach S., 1922, Fund. Math., V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]
[5] Fixed point theorems in partially ordered metric spaces and applications
Bhaskar, T. Gnana
Lakshmikantham, V.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (07) : 1379 - 1393
[6] ON NONLINEAR CONTRACTIONS
BOYD, DW
WONG, JSW
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) : 458 - &
[7] Branciari A., 2002, Int J Math Math Sci, V29, P531, DOI [10.1155/S0161171202007524, DOI 10.1155/S0161171202007524]
[8] Coupled fixed points of weakly F-contractive mappings in topological spaces
Cho, Yeol Je
Shah, Masood Hussain
Hussain, Nawab
[J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (07) : 1185 - 1190
[9] Common fixed point theorems on generalized distance in ordered cone metric spaces
Cho, Yeol Je
Saadati, Reza
Wang, Shenghua
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 1254 - 1260
[10] THE EXISTENCE RESULTS OF COUPLED QUASI-SOLUTIONS FOR A CLASS OF OPERATOR EQUATIONS
Cho, Yeol Je
He, Guang
Huang, Nan-jing
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (03) : 455 - 465

← 1 2 3 →