Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections
Authors:
- Frank DeutschFDFrank Deutsch
- Petar KenderovPKPetar Kenderov
- 1 January 1983
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 14 (1) , 185-194
Abstract
Two new continuity properties for set-valued mappings are defined which are weaker than lower semicontinuity. One of these properties characterizes when approximate selections exist. A few selection theorems characterized by the other property are established. Some applications are made to set-valued metric projections.Keywords
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