We provide a necessary and sufficient condition for two equivalent metrics to generate the same Wijsman convergence on the hyperspace of a metrizable space. We give some applications to normed linear spaces and to various classes of metrizable spaces. © 1993 Kluwer Academic Publishers.
Costantini, C., Levi, S., Zieminska, J. (1993). Metrics that generate the same hyperspace convergence. SET-VALUED ANALYSIS, 1(2), 141-157 [10.1007/BF01027689].
Metrics that generate the same hyperspace convergence
LEVI, SANDRO;
1993
Abstract
We provide a necessary and sufficient condition for two equivalent metrics to generate the same Wijsman convergence on the hyperspace of a metrizable space. We give some applications to normed linear spaces and to various classes of metrizable spaces. © 1993 Kluwer Academic Publishers.
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