Uniqueness on a Residual Part of Best Approximations in Banach Spaces

Abstract

[Kenderov Petar S.; Кендеров Петър С.]The paper presents some general results concerning continuity on a residual part of every semi-continuous multivalued mapping. As an application, some results are proved asserting (under some conditions) that every metric projection is single-valued on a residual part of the space. The results were announced in [6]

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