When some variational properties force convexity

DOI10.1051/COCV/2012029zbMath1277.46042OpenAlexW2141867307MaRDI QIDQ2842249

Constantin Zalinescu, Jean-Baptiste Hiriart-Urruty, Michel Volle

Publication date: 13 August 2013

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2012029

zbMATH Keywords

convex functionlower semicontinuous functionconvex analysisfarthest pointmetric projectionChebyshev setuniquely remotal setnearest pointessentially strictly convex functionTikhonov well-posednessantiprojectionconvexity of Chebyshev subsetsessentially Gâteaux differentiable function

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) 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) Derivatives of functions in infinite-dimensional spaces (46G05)

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