A parametric smooth variational principle and support properties of convex sets and functions

DOI10.1016/j.jmaa.2008.03.005zbMath1162.49006OpenAlexW2114314194MaRDI QIDQ2518750

Libor Veselý

Publication date: 16 January 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.005

zbMATH Keywords

convex setBishop-Phelps theoremsupport pointsmooth variational principlesupport functional

Mathematics Subject Classification ID

Existence theories for problems in abstract spaces (49J27)

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ENVELOPES FOR SETS AND FUNCTIONS: REGULARIZATION AND GENERALIZED CONJUGACY ⋮ Structure theory for maximally monotone operators with points of continuity ⋮ A parametric variational principle and residuality ⋮ SUM THEOREMS FOR MAXIMALLY MONOTONE OPERATORS OF TYPE (FPV)

Cites Work

• Convex functions, monotone operators and differentiability.
• On support points and support functionals of convex sets
• A Smooth Variational Principle With Applications to Subdifferentiability and to Differentiability of Convex Functions
• Parametric Borwein-Preiss variational principle and applications
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