Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 584178, 7 pages
doi:10.1155/2009/584178
Fixed point theorems for random lower semi-continuous mappings
Raúl Fierro1
, Carlos Martínez
and Claudio H. Morales3
1Instituto de Matemáticas, Pontificia Universidad Católica de Valparaíso, Cerro Barón, Valparaíso, Chile
3Department of Mathematics, University of Alabama in Huntsville, Huntsville, AL 35899, USA
Abstract
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.