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

Fixed points for pseudocontractive mappings on unbounded domains

Jesús García-Falset and E. Llorens-Fuster2


2Departamento de Análisis Matemático, Facultad de Matemáticas, Universitat de Valencia, 46100 Burjassot, Spain

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.