Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Continuous selections and fixed points of multi-valued mappings on noncompact or nonmetrizable spaces

Authors: Lai-Jiu Lin, Ngai-Ching Wong and Zenn-Tsuen Yu
Journal: Proc. Amer. Math. Soc. 133 (2005), 3421-3427
MSC (2000): Primary 54C65, 46H10, 54H25
Published electronically: June 20, 2005
MathSciNet review: 2161168
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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

Ngai-Ching Wong
Affiliation: Department of Applied Mathematics, National Sun Yat-sen University, and National Center for Theoretical Sciences, Kaohsiung, 80424, Taiwan

Zenn-Tsuen Yu
Affiliation: Department of Electrical Engineering, Nan-Kai Institute of Technology, Nantour 542, Taiwan

Keywords: Multi-valued mappings, continuous selections, fixed points
Received by editor(s): July 17, 2003
Published electronically: June 20, 2005
Communicated by: Jonathan M. Borwein
Article copyright: © Copyright 2005 American Mathematical Society