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- W2372477902 abstract "In this paper, we study the continuity of metric projections in nearly strong convex, nearly very convex Banach spaces. The following results are obtaited: Let A be a proximinal convex subset in a nearly strong convex (nearly very convex) Banach space, then the metric projection P A is norm norm upper semicontinous (norm weak upper semicontinous). Moreover, using the continuity of metric projections, we give some characterization of nearly strong convexity and nearly very convexity." @default.
- W2372477902 created "2016-06-24" @default.
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- W2372477902 date "2001-01-01" @default.
- W2372477902 modified "2023-09-25" @default.
- W2372477902 title "Convexity and the Continuity of Metric Projections" @default.
- W2372477902 hasPublicationYear "2001" @default.
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