Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 769858, 17 pages
doi:10.1155/2010/769858
Research Article

Fixed Points for Pseudocontractive Mappings on Unbounded Domains

Jesús García-Falset and E. Llorens-Fuster

Departamento de Análisis Matemático, Facultad de Matemáticas, Universitat de Valencia, 46100 Burjassot, Spain

Received 4 September 2009; Accepted 14 October 2009

Academic Editor: Mohamed A. Khamsi

Copyright © 2010 Jesús García-Falset and E. Llorens-Fuster. 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

We give some fixed point results for pseudocontractive mappings on nonbounded domains which allow us to obtain generalizations of recent fixed point theorems of Penot, Isac, and Németh. An application to integral equations is given.