Original scientific paper

Coupled fixed point theorems in partially ordered metric spaces and application

Asadollah Aghajani ; School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
Mujahid Abbas ; Department of Mathematics, Lahore University of Management Sciences, Lahore, Pakistan
Ehsan Pourhadi Kallehbasti ; School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

Abstract

In this paper, we prove some coupled fixed point theorems for contractive mappings in partially ordered complete metric spaces under certain conditions to extend and complement the recent fixed point theorems according to Lakshmikantham and Ćirić [V. Lakshmikantham, L. Ćirić, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70(2009), 4341-4349 and Luong and Thuan [N. V. Luong, N. X. Thuan, Coupled fixed points in partially ordered metric spaces and application, Nonlinear Anal. 74 (2011), 983-992]. As an application, we give a result of existence and uniqueness for the solutions of a class of nonlinear integral equations.

Keywords

coupled fixed point; mixed g-monotone property; nonlinear integral equation

Hrčak ID:

93280

URI

https://hrcak.srce.hr/93280

Publication date:

5.12.2012.

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