scientific article; zbMATH DE number 6155047

zbMath1276.46061MaRDI QIDQ4914045

Maxim V. Balashov

Publication date: 17 April 2013

Full work available at URL: http://www.heldermann.de/JCA/JCA20/JCA201/jca20006.htm

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zbMATH Keywords

Hilbert spaceBanach spaceuniform convexitybest approximationdistance functionmetric projectionuniform smoothnessproximal smoothnessweak convexitymodulus of weak convexity

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

Related Items (4)

Prox-regular sets and Legendre-Fenchel transform related to separation properties ⋮ Distance function associated to a prox-regular set ⋮ Unnamed Item ⋮ New metric properties for prox-regular sets

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