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Notes on Random Fixed Point Theorems

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2006, v.13 no.3, pp.227-236
Cho Y.J.
Khan M. Firdosh
Salahuddin Salahuddin
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Abstract

The purpose of this paper is to establish a random fixed point theorem for nonconvex valued random multivalued operators, which generalize known results in the literature. We also derive a random coincidence fixed point theorem in the noncompart setting.

keywords
random fixed point theorem, random coincidence fixed point theorem, Hausdorff topological vector space

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics