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

S. Plubtieng and P. Kumam

International Journal of Stochastic Analysis, 2006, vol. 2006, 1-9

Abstract:

Let ( Ω , Σ ) be a measurable space, with Σ a sigma-algebra of subset of Ω , and let C be a nonempty bounded closed convex separable subset of a Banach space X , whose characteristic of noncompact convexity is less than 1, K C ( X ) the family of all compact convex subsets of X . We prove that a multivalued nonexpansive non-self-random operator T : Ω × C → K C ( X ) , 1- χ -contractive mapping, satisfying an inwardness condition has a random fixed point.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:043796

DOI: 10.1155/JAMSA/2006/43796

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