Random fixed point theorem of Krasnoselskii type for the sum of two operators

Abstract

In this paper, we prove some random fixed point theorem for the sum of a weakly-strongly continuous random operator and a nonexpansive random operator in Banach spaces. Our results are the random versions of some deterministic fixed point theorems of Edmund (Math. Ann. 174:233-239, 1967), O'Regan (Appl. Math. Lett. 9:1-8, 1996) and some known results in the literature. © 2013 Arunchai and Plubtieng; licensee Springer.