Continuous selections and fixed points of multi-valued mappings on noncompact or nonmetrizable spaces
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- by Lai-Jiu Lin, Ngai-Ching Wong and Zenn-Tsuen Yu PDF
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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.References
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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
- Received by editor(s): July 17, 2003
- Published electronically: June 20, 2005
- Communicated by: Jonathan M. Borwein
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 3421-3427
- MSC (2000): Primary 54C65, 46H10, 54H25
- DOI: https://doi.org/10.1090/S0002-9939-05-08264-X
- MathSciNet review: 2161168