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

Lin, Tzu-Chu

doi:10.1090/S0002-9939-1988-0954994-0

Random approximations and random fixed point theorems for non-self-maps
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Proc. Amer. Math. Soc. 103 (1988), 1129-1135 Request permission

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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