Strong uniqueness and Lipschitz continuity of metric projections: A generalization of the classical Haar theory

Li, Wu

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Publication date

February 1989

DOI

10.1016/0021-9045(89)90108-1

Publisher

Published by Elsevier Inc.

Abstract

AbstractWe generalize the concept of strong uniqueness of the metric projection PG under Hausdorff metric. We show that, under this metric, the following statements are equivalent: 1.(i) PG is continuous;2.(ii) PG is pointwise Lipschitz continuous;3.(iii) PG is pointwise strongly unique

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Strong uniqueness and Lipschitz continuity of metric projections: A generalization of the classical Haar theory

Abstract

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Strong uniqueness and Lipschitz continuity of metric projections: A generalization of the classical Haar theory

Abstract

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