Some Krasnosel’skii type random fixed point theorems

Abstract

Abstract. The authors prove some random fixed point theorems for the sum of a weakly-strongly continuous random operator and an expansive random operator in Banach spaces. They also establish a random multivalued version of a Krasnosel'skii type fixed point theorem for the sum B + G, where B is a linear or nonlinear random operator and G is a random multivalued operator. They apply their results to a random fractional integral inclusion.A result for systems is also given. Their results extend previous ones in the literature.