International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 7, Pages 407-412
doi:10.1155/S0161171202006105

Random fixed point theorems for asymptotic 1-set contraction operators

P. Vijayaraju

School of Mathematics, Anna University, Chennai 600 025, India

Abstract

Random fixed point theorems for condensing, 1-set contraction selfless are known. But no random fixed point theorem for more general asymptotic 1-set contraction selfmaps is yet available. The purpose of this paper is to prove random fixed point theorems for such maps.