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Let (W, S) be a measurable space, with \sum a sigma-algebra of subsets of W, and let E be a nonempty bounded closed convex and separable subset of a Banach space X, whose characteristic of noncompact convexity is less than 1. We prove that a multivalued nonexpansive, non-self operator T: W \times E \rightarrow KC(X) satisfying an inwardness condition and itself being a 1-c-contractive nonexpansive mapping has a random fixed point. We also prove that a multivalued nonexpansive, non-self operator T:W\times E\rightarrow KC(X) with a uniformly convex X satisfying an inwardness condition has a random fixed point.
Field : Fen Bilimleri ve Matematik
Journal Type : Uluslararası
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