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Continuous selections and fixed points of multi-valued mappings on noncompact or nonmetrizable spaces
Author(s):
Lai-Jiu
Lin;
Ngai-Ching
Wong;
Zenn-Tsuen
Yu
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3421-3427.
MSC (2000):
Primary 54C65, 46H10, 54H25
Posted:
June 20, 2005
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Abstract:
In this paper, we obtain several new continuous selection theorems for multi-valued mappings on completely regular spaces and fixed point theorems for multi-valued maps on nonmetrizable spaces. They, in particular, provide a partial solution of a conjecture of X. Wu.
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Additional Information:
Lai-Jiu
Lin
Affiliation:
Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan
Email:
maljlin@math.ncue.edu.tw
Ngai-Ching
Wong
Affiliation:
Department of Applied Mathematics, National Sun Yat-sen University, and National Center for Theoretical Sciences, Kaohsiung, 80424, Taiwan
Email:
wong@math.nsysu.edu.tw
Zenn-Tsuen
Yu
Affiliation:
Department of Electrical Engineering, Nan-Kai Institute of Technology, Nantour 542, Taiwan
DOI:
10.1090/S0002-9939-05-08264-X
PII:
S 0002-9939(05)08264-X
Keywords:
Multi-valued mappings,
continuous selections,
fixed points
Received by editor(s):
July 17, 2003
Posted:
June 20, 2005
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2005,
American Mathematical Society
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