Random fixed points of non-self maps and random approximations
نویسندگان
چکیده
منابع مشابه
Random Approximations and Random Fixed Point Theorems for Continuous 1-set-contractive Random Maps
Recently the author [Proc. Amer. Math. Soc. 103(1988), 11291135] proved random versions of an interesting theorem of Ky Fan [Theorem 2, Math. Z. 112 (1969), 234-240] for continuous condensing random maps and nonexpansive random maps defined on a closed convex bounded subset in a separable Hilbert space. In this paper, we prove that it is still true for (more general) continuous 1-set-contractiv...
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متن کاملRandom Fixed Point Theorems for Multivalued Nonexpansive Non-self-random Operators
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, KC(X) the family of all compact convex subsets of X . We prove that a multivalued nonexpansive non-self-random operator T :Ω×C → KC(X), 1-χ-contractive mapping, satisfying an inwa...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Stochastic Analysis
سال: 1997
ISSN: 1048-9533,1687-2177
DOI: 10.1155/s1048953397000154