Random fixed points of multivalued inward random operators.

Khan, A.R.; Domlo, A.A.

Displaying similar documents to “Random fixed points of multivalued inward random operators.”

Random fixed point theorems for multivalued nonexpansive non-self-random operators.

Plubtieng, S., Kumam, P. (2006)

Journal of Applied Mathematics and Stochastic Analysis

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The characteristic of noncompact convexity and random fixed point theorem for set-valued operators

Poom Kumam, Somyot Plubtieng (2007)

Czechoslovak Mathematical Journal

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Let $(Ω, Σ)$ be a measurable space, $X$ a Banach space whose characteristic of noncompact convexity is less than 1, $C$ a bounded closed convex subset of $X$ , $K C (C)$ the family of all compact convex subsets of $C .$ We prove that a set-valued nonexpansive mapping $T C \to K C (C)$ has a fixed point. Furthermore, if $X$ is separable then we also prove that a set-valued nonexpansive operator $T Ω \times C \to K C (C)$ has a random fixed point.