Subdifferentials are locally maximal monotone

DOI10.1017/S000497270001529XzbMath0803.47049MaRDI QIDQ3137360

Stephen Simons

Publication date: 1 November 1993

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

zbMATH Keywords

Rockafellar's maximal monotonicity theoremlocally maximal monotone operatorssubdifferential of a proper convex lower semicontinuous function

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fréchet and Gateaux differentiability in optimization (49J50) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (3)

Swimming below icebergs ⋮ Some properties of maximal monotone operators on nonreflexive Banach spaces ⋮ Remarks on subgradients and \(\varepsilon\)-subgradients

Cites Work

• The least slope of a convex function and the maximal monotonicity of its subdifferential
• Nonconvex minimization problems
• On a Convexity Property of the Range of a Maximal Monotone Operator

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