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Physical Sciences and Engineering Mathematics Analysis

WW-approximative compactness and continuity of the generalized projection operator in Banach spaces

Article ID Journal Published Year Pages File Type
4607741 Journal of Approximation Theory 2010 8 Pages PDF
Abstract

We introduce the notion of WW-approximative (weak) compactness for a nonempty subset of a smooth Banach space, and present its characterizations. With this notion, we give the sufficient conditions for continuity and the upper semi-continuity of the generalized projection operator.

Keywords
Generalized projection operatorUpper semi-continuity
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
WW-approximative compactness and continuity of the generalized projection operator in Banach spaces
Authors
Wei-Bo Guan, Wen Song,
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Journal
Journal of Approximation Theory
Journal: Journal of Approximation Theory
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Upper semi-continuity
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