Regularisations of convex functions and slicewise suprema

DOI10.1017/S0004972700013599zbMath0830.47034MaRDI QIDQ4325751

Stephen Simons

Publication date: 13 March 1995

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

inf-convolutionlower envelopeupper envelopesublinear functionalepisumregularization of a given proper convex lower semicontinuous function on a Banach spacesubtangents

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex functions and convex programs in convex geometry (52A41) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Convex sets and cones of operators (47L07)

Cites Work

• Convex functions, monotone operators and differentiability.
• Lipschitz $r$-continuity of the approximative subdifferential of a convex function.
• Nonconvex minimization problems
• The slice topology: a viable alternative to mosco convergence in nonreflexive spaces
• Subtangents with controlled slope

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