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ISSN : 1226-0657

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Vol.4 No.1

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FIXED POINT PROPERTY AND COMPLETENESS OF ORDERED SETS

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Sungshin Women's University)
Kang, Byung-Gai. (1997). FIXED POINT PROPERTY AND COMPLETENESS OF ORDERED SETS. 한국수학교육학회지시리즈B:순수및응용수학, 4(1), 19-26.

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

한국수학교육학회지시리즈B:순수및응용수학

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