Minimal usco and minimal cusco maps and compactness
作者： Ľubica Holá , Dušan Holý
DOI: 10.1016/J.JMAA.2016.03.007
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摘要: Abstract We prove a nice generalization of the Arzela–Ascoli Theorem from continuous functions to minimal usco/cusco maps into metric spaces. Let X be locally compact space, ( Y , d ) K space all nonempty subsets and MU usco Y. The family E ⊆ is in equipped with topology τ UC uniform convergence on sets if only closed pointwise bounded densely equicontinuous. same result holds also for MC cusco Banach
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