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Attouch-Wets convergence and Kuratowski convergence on compact sets. (English) Zbl 0844.54010
Let \(X\) and \(Y\) be metric spaces. Let \(G\) be the space of all continuous functions defined on closed subsets of \(X\) with values in \(Y\). The paper studies the Kuratowski convergence on compacta on \(G\) and gives some sufficient conditions on \(X\) and \(Y\) under which the Kuratowski convergence on compacta on \(G\) and the Attouch-Wets convergence on \(G\) coincide.

MSC:
54C35 Function spaces in general topology
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