Random Approximations and Random Fixed-Point Theorems for Non-Self-Maps
Journal
Proceedings of the American Mathematical Society
Journal Volume
103
Journal Issue
4
Pages
1129-1135
Date Issued
1988
Author(s)
Lin, Tc
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 nonexpansive 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.
Type
journal article