Contractive-Like Mapping Principles in Ordered Metric Spaces and Application to Ordinary Differential Equations
Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain
Fixed Point Theory and Applications 2010, 2010:916064 doi:10.1155/2010/916064Published: 10 May 2010
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.