The Continuous Selections for the Metric Projection |
Received:October 24, 2000 |
Key Words:
continuous selection metric projection weakly continuous
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Fund Project:Supported by the Natural Science Foundation of Hebei |
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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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