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

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.

Bibliographic Details
Main Authors: K. Sadarangani, J. Harjani, J. Caballero
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2010/916064