Abstract: We briefly review the results related to the notion of stability of convex sets and consider some of their applications. We prove a corollary of the stability property which enables us to develop an approximation technique for concave functions on a wide class of convex sets. This technique yields necessary and sufficient conditions for the local continuity of concave functions. We describe some examples of their applications.
Publication Year: 2012
Publication Date: 2012-08-20
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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