Remarks on subgradients and \(\varepsilon\)-subgradients

DOI10.1007/BF01027637zbMath0797.47032MaRDI QIDQ1321603

Andrei Verona, Maria Elena Verona

Publication date: 9 October 1994

Published in: Set-Valued Analysis (Search for Journal in Brave)

zbMATH Keywords

maximal monotonicity\(\varepsilon\)- subdifferentials of a proper, lower semicontinuous, convex functionlocally maximal operatormaximal cyclical monotonicity theorems for subdifferentials

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Convexity of real functions of several variables, generalizations (26B25)

Related Items

Sequential \(\varepsilon\)-subdifferential calculus for scalar and vector mappings ⋮ Some properties of maximal monotone operators on nonreflexive Banach spaces ⋮ The Rockafellar conjecture and type (FPV) ⋮ Location, identification, and representability of monotone operators in locally convex spaces ⋮ Quasidense monotone multifunctions ⋮ Nonconvex integration using ϵ-subdifferentials ⋮ Unnamed Item ⋮ A sum theorem for (FPV) operators and normal cones ⋮ Integration of \(\epsilon\)-Fenchel subdifferentials and maximal cyclic monotonicity

Cites Work

• A note on epsilon-subgradients and maximal monotonicity
• Convex functions, monotone operators and differentiability
• The least slope of a convex function and the maximal monotonicity of its subdifferential
• On the maximal monotonicity of subdifferential mappings
• Subgradients of a convex function obtained from a directional derivative
• Subdifferentials are locally maximal monotone
• On the Subdifferentiability of Convex Functions

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