The Continuous Selections for the Metric Projection
Received:October 24, 2000  
Key Words: continuous selection   metric projection   weakly continuous  
Fund Project:Supported by the Natural Science Foundation of Hebei
Author NameAffiliation
SONG Wen-hua Inst. of Appl. Math.
Hebei University of Economics and Trade
Shijiazhuang
China 
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Abstract:
      Some results concerning weakly continuous selection for set-valued mappingare given and, applied to metric projection. Let Y be a subspace of a Banach space X.If Y is a separable reflexive Banach space,reinoved a first category subset, the metricprojection is weakly lower semicontinnous and admits a weakly continuous selection.
Citation:
DOI:10.3770/j.issn:1000-341X.2002.02.006
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