Random fixed point theorems for multivalued nonexpansivenon-self-random operators

[摘要] Let(Ω,Σ)be a measurable space, withΣasigma-algebra of subset ofΩ, and letCbe a nonemptybounded closed convex separable subset of a Banach spaceX,whose characteristic of noncompact convexity is less than 1,KC(X)the family of all compact convex subsets ofX.We prove that a multivalued nonexpansive non-self-random operatorT:Ω×C→KC(X), 1-χ-contractive mapping,satisfying an inwardness condition has a random fixed point.

[学科分类] 应用数学