A Strengthening of a Lemma on Continuous Families of Closed Convex Sets
Rolf Klötzler
Borsdorf, Germany
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Abstract
Let be a normed linear space and a family of set-valued mappings on a metric space . lt will be shown the following strengthening of a result by S. Rolewicz. If is lower semi-continuous in and int , then int holds for sufficiently neighbouring of too.
Cite this article
Rolf Klötzler, A Strengthening of a Lemma on Continuous Families of Closed Convex Sets. Z. Anal. Anwend. 10 (1991), no. 3, pp. 415–416
DOI 10.4171/ZAA/463