Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 916064, 14 pages
doi:10.1155/2010/916064
Research Article

Contractive-Like Mapping Principles in Ordered Metric Spaces and Application to Ordinary Differential Equations

J. Caballero, J. Harjani, and K. Sadarangani

Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain

Received 25 November 2009; Revised 10 March 2010; Accepted 30 March 2010

Academic Editor: Tomonari Suzuki

Copyright © 2010 J. Caballero et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The purpose of this paper is to present a fixed point theorem for generalized contractions in partially ordered complete metric spaces. We also present an application to first-order ordinary differential equations.