Continuity of lower envelopes

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Göğüş, Nihat Gökhan (2017) Continuity of lower envelopes. Optimization, 66 (7). pp. 1055-1063. ISSN 0233-1934 (Print) 1029-4945 (Online)

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Official URL: http://dx.doi.org/10.1080/02331934.2017.1330336


The purpose of the paper is to give a complete characterization of the continuity of lower envelopes in the infinite dimensional spaces. The characterization of upper or lower semicontinuity of envelopes, when stated in the language of multifunctions, has a dual geometric character which depends on the upper or lower semicontinuity of the corresponding multifunction.

Item Type:Article
Uncontrolled Keywords:Metric spaces; lower envelopes; multifunctions
Subjects:Q Science > QA Mathematics
ID Code:32421
Deposited By:Nihat Gökhan Göğüş
Deposited On:19 Aug 2017 17:39
Last Modified:19 Aug 2017 17:39

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