scientific article; zbMATH DE number 6458438

zbMath1334.49046MaRDI QIDQ5262225

Maxim V. Balashov

Publication date: 13 July 2015

Full work available at URL: http://www.heldermann.de/JCA/JCA22/JCA222/jca22024.htm

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zbMATH Keywords

Hilbert spacestrong convexityfarthest pointsantiprojectionantidistance\(R\)-exposed points

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Convex functions and convex programs in convex geometry (52A41) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Convexity of real functions of several variables, generalizations (26B25) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (6)

Estimates of the Chebyshev radius in terms of the MAX-metric function and the MAX-projection operator ⋮ Inscribed balls and their centers ⋮ The Pliś metric and Lipschitz stability of minimization problems ⋮ Unnamed Item ⋮ Solarity of sets in max-approximation problems ⋮ Extending and paralleling Stechkin's category theorem

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