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Absolute fixed point sets for multi-valued maps
Author(s):
Eric
L.
McDowell
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3733-3741.
MSC (1991):
Primary 54F15, 54C60;
Secondary 54C15, 54B20, 54D05
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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.
References:
- [1]
- John R. Martin, On absolute fixed-point sets, Colloq. Math. 35 (1976), 67-71. MR 53:4033
- [2]
- -, Absolute fixed-point sets in compacta, Colloq. Math. 39 (1977), 41-44. MR 80f:54028
- [3]
- -, Absolute fixed point sets and AR-spaces, Fund. Math. 112 (1981), 159-164. MR 82j:54098
- [4]
- Eric L. McDowell and Sam B. Nadler, Jr., Absolute fixed point sets for continuum-valued maps, Proc. Amer. Math. Soc. 124 (1996), 1271-1276. MR 96g:54042
- [5]
- Sam B. Nadler, Jr., Hyperspaces of sets, Marcel Dekker Inc., New York, 1978. MR 58:18330
- [6]
- -, Continuum theory, an introduction, Marcel Dekker, Inc., New York, 1992. MR 93m:54002
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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:
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
Copyright of article:
Copyright
1998,
American Mathematical Society
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