Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 584178, 7 pages
Research Article

Fixed Point Theorems for Random Lower Semi-Continuous Mappings

1Instituto de Matemáticas, Pontificia Universidad Católica de Valparaíso, Cerro Barón, Valparaíso, Chile
2Laboratorio de Análisis Estocástico CIMFAV, Universidad de Valparaíso, Casilla 5030, Valparaíso, Chile
3Department of Mathematics, University of Alabama in Huntsville, Huntsville, AL 35899, USA

Received 31 January 2009; Accepted 1 July 2009

Academic Editor: Naseer Shahzad

Copyright © 2009 Raúl Fierro et al. 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.


We prove a general principle in Random Fixed Point Theory by introducing a condition named (𝒫) which was inspired by some of Petryshyn's work, and then we apply our result to prove some random fixed points theorems, including generalizations of some Bharucha-Reid theorems.