On the lower semi-continuity of the set valued metric projection (Q1196599)

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scientific article; zbMATH DE number 89239
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On the lower semi-continuity of the set valued metric projection
scientific article; zbMATH DE number 89239

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    On the lower semi-continuity of the set valued metric projection (English)
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    16 January 1993
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    The author first discusses some results on the finite order intersection properties of cells and makes use of the results to study the lower semi- continuity of best approximations operators from Banach lattices on to closed ideals. He further investigates the existence of best approximation to sub-function modulus of functions modules.
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    metric projections
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    continuous selections
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    finite order intersection properties of cells
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    best approximations operators
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    Banach lattices
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