Type: Article

A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations

Journal: Nonlinear Analysis, Theory, Methods and Applications (0362546X)Year: 1 March 2010Volume: 72Issue: Pages: 2238 - 2242

Amini Harandi A.^a

a :University of Isfahan - IRAN(IR) - Isfahan

DOI:10.1016/j.na.2009.10.023Language: English

Abstract

We present a fixed point theorem for generalized contraction in partially ordered complete metric spaces. As an application, we give an existence and uniqueness for the solution of a periodic boundary value problem. © 2009 Elsevier Ltd. All rights reserved.