Nonlinear Contractive Conditions for Coupled Cone Fixed Point Theorems

被引：18
作者：
Du, Wei-Shih [1 ]
机构：
[1] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 802, Taiwan
来源：
FIXED POINT THEORY AND APPLICATIONS | 2010年
关键词：
PARTIALLY ORDERED SETS; ORDINARY DIFFERENTIAL-EQUATIONS; METRIC-SPACES; EXISTENCE;
D O I：
10.1155/2010/190606
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish some new coupled fixed point theorems for various types of nonlinear contractive maps in the setting of quasiordered cone metric spaces which not only obtain several coupled fixed point theorems announced by many authors but also generalize them under weaker assumptions.
引用
收藏
页数：16
相关论文
共 19 条
[1]   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
[2]   Fixed point theorems in partially ordered metric spaces and applications [J].
Bhaskar, T. Gnana ;
Lakshmikantham, V. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (07) :1379-1393
[3]   Global Attractivity Results for Mixed-Monotone Mappings in Partially Ordered Complete Metric Spaces [J].
Burgic, Dz. ;
Kalabusic, S. ;
Kulenovic, M. R. S. .
FIXED POINT THEORY AND APPLICATIONS, 2009,
[4]  
Chen GY, 2005, LECT NOTES ECON MATH, V541, P1, DOI 10.1007/3-540-28445-1
[5]   On some nonlinear problems induced by an abstract maximal element principle [J].
Du, Wei-Shih .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 347 (02) :391-399
[6]   Coupled Fixed Point Theorems for Nonlinear Contractions Satisfied Mizoguchi-Takahashi's Condition in Quasiordered Metric Spaces [J].
Du, Wei-Shih .
FIXED POINT THEORY AND APPLICATIONS, 2010,
[7]   Some new results and generalizations in metric fixed point theory [J].
Du, Wei-Shih .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (05) :1439-1446
[8]   A note on cone metric fixed point theory and its equivalence [J].
Du, Wei-Shih .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) :2259-2261
[9]  
DU WS, FIXED POINT TH UNPUB
[10]   Fixed point theorems for weakly contractive mappings in partially ordered sets [J].
Harjani, J. ;
Sadarangani, K. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) :3403-3410
12