Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Random approximations and random fixed point theorems for non-self-maps

Author: Tzu-Chu Lin
Journal: Proc. Amer. Math. Soc. 103 (1988), 1129-1135
MSC: Primary 47H10; Secondary 47H09, 60H25
MathSciNet review: 954994
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Abstract: Recently, Sehgal and Singh [18] and Papageorgiou [16] considered different random versions of a very interesting theorem of Fan [4]. Instead of compact convex domain, here we consider a continuous condensing or non-expansive random map defined on a closed ball (or closed convex set with bounded range). We prove it is true for certain spaces. As applications of our theorems, some random fixed point theorems of non-self-maps are derived.

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Article copyright: © Copyright 1988 American Mathematical Society