Open Access Research Article

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

J Caballero, J Harjani and K Sadarangani*

Author Affiliations

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

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Fixed Point Theory and Applications 2010, 2010:916064  doi:10.1155/2010/916064

Published: 10 May 2010

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.