Abstract
Let $X$ be a locally compact space and let $(Y,d)$ be a nontrivial metric space such that $d$ has the Heine--Borel property. We prove Ascoli-type theorem for locally bounded quasicontinuous functions from $X$ to $Y$. Using the above result we also prove an Ascoli-type theorems for the spaces of minimal usco and minimal cusco maps from $X$ to $\Bbb R$.
Citation
Dusan Holy. "Ascoli-type theorems for locally bounded quasicontinuous functions, minimal usco and minimal cusco maps." Ann. Funct. Anal. 6 (3) 29 - 41, 2015. https://doi.org/10.15352/afa/06-3-3
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