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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
1997, v.4 no.1, pp.19-26
Kang, Byung-Gai

Abstract

In this paper, we characterize the existence of fixed points of a multivalued function by the existence of complete preorder on the given domain. Also we investigate relations between the completeness of a given order and the fixed point property of some multivalued functions.

keywords
preorder, inductive, complete, order extremal, normal order structure, fixed point

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