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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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