Coupled fixed point theorems in partially ordered metric spaces

Authors: Nguyễn Văn Lương, Nguyễn Xuân Thuận,

https://www.emis.de/journals/BMAA/repository/docs/BMAA2-4-3.pdf

Publisher, magazine: ,

Publication year: 2010

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Abstract

The purpose of this paper is to prove some coupled fixed point theorems for mapping having the mixed monotone property in partially ordered metric sapces which are generalization of the main results of T. G. Bhaskar and V. Lakshmikantham [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 7, 1379–1393 (2006; Zbl 1106.47047)]. We support our results by an example.

Tags: coupled fixed point; mixed monotone property; partially ordered set