Chebyshev Sets with Piecewise Continuous Metric Projectionстатья
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Дата последнего поиска статьи во внешних источниках: 17 апреля 2024 г.
Аннотация:We study the properties of Chebyshev sets composed of at most countably many setswith a continuous metric projection. Local solarity is established in neighborhoods on which themetric projection is single-valued and continuous in uniformly convex spaces. As examples ofapplications of the results obtained, we consider generalized fractions and products, as well as ridgefunctions.