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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Absolute fixed point sets for multi-valued maps


Author: Eric L. McDowell
Journal: Proc. Amer. Math. Soc. 126 (1998), 3733-3741
MSC (1991): Primary 54F15, 54C60; Secondary 54C15, 54B20, 54D05
MathSciNet review: 1459138
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Abstract: The notion of a multi-valued absolute fixed point set (MAFS) will be defined and characterized in the setting of set-valued maps with images containing multiple components.


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Additional Information

Eric L. McDowell
Affiliation: Department of Mathematics, Bethany College, Bethany, West Virginia 26032
Address at time of publication: Department of Mathematical Sciences, Berry College, Mount Berry, Georgia 30149
Email: e.mcdowell@mail.bethanywv.edu, emcdowell@berry.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04461-X
PII: S 0002-9939(98)04461-X
Keywords: Compactum, continuum, hyperspace, locally connected, multi-valued absolute fixed point set, MAFS, multi-valued map
Received by editor(s): January 9, 1997
Received by editor(s) in revised form: April 17, 1997
Communicated by: Alan Dow
Article copyright: © Copyright 1998 American Mathematical Society