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

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  • S. Plubtieng
  • P. Kumam

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.

Suggested Citation

  • S. Plubtieng & P. Kumam, 2006. "Random fixed point theorems for multivalued nonexpansive non-self-random operators," International Journal of Stochastic Analysis, Hindawi, vol. 2006, pages 1-9, April.
    • Handle: RePEc:hin:jnijsa:043796
    DOI: 10.1155/JAMSA/2006/43796
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