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- W2023563020 abstract "Abstract In this paper, we extend new selection theorems for almost lower semicontinuous multifunctions T on a paracompact topological space X to general nonconvex settings. On the basis of the Kim–Lee theorem and the Horvath selection theorem, we first show that any a.l.s.c. C -valued multifunction admits a continuous selection under a mild condition of a one-point extension property. Finally, we apply a fundamental selection theorem, due to Ben-El-Mechaiekh and Oudadess, to modify our selection theorems by adjusting a closed subset Z of X with its covering dimension d i m X Z ≤ 0 . The results derived here generalize and unify various earlier ones from classic continuous selection theory." @default.
- W2023563020 created "2016-06-24" @default.
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- W2023563020 date "2010-11-01" @default.
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- W2023563020 title "Generalized selection theorems without convexity" @default.
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- W2023563020 doi "https://doi.org/10.1016/j.na.2010.07.002" @default.
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