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Zbl 1218.54040
Harjani, J.; López, B.; Sadarangani, K.
Fixed point theorems for mixed monotone operators and applications to integral equations. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1749-1760 (2011). ISSN 0362-546X

The authors generalize Theorem 1 of [{\it T. G. Bhaskar} and {\it V. Lakshmikantham}, Nonlinear Anal., Theory Methods Appl. 65, No.~7, A, 1379--1393 (2006; Zbl 1106.47047)] by using altering distance functions and present some coupled fixed point theorems for a mixed monotone operator in a complete metric space endowed with a partial order. They also provide an application to integral equations.
[Hengyou Lan (Zigong)]

MSC 2000:: *54H25 Fixed-point theorems in topological spaces
54E50 Complete metric spaces
54F05 Ordered topological spaces

Keywords: coupled fixed point; mixed monotone operator; partially ordered set; altering distance function; integral equation

Citations: Zbl 1106.47047

Cited in: Zbl 1255.54027 Zbl 1251.54056 Zbl 1244.54086

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