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ISSN : 3059-0604
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FIXED POINT PROPERTY AND COMPLETENESS OF ORDERED SETS
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 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
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