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

Lin, Lai-Jiu; Wong, Ngai-Ching; Yu, Zenn-Tsuen

doi:10.1090/S0002-9939-05-08264-X

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

Proc. Amer. Math. Soc. 133 (2005), 3421-3427 Request permission

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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