Continuity of lower envelopes |
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| Authors: | Nihat Gökhan Göğüş |
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| Institution: | 1. Sabanc? University, Istanbul, Turkey.nggogus@sabanciuniv.edu |
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| Abstract: | 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. |
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| Keywords: | Metric spaces lower envelopes multifunctions |
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