Autoconjugate functions and representations of monotone operators

DOI10.1017/S0004972700033748zbMath1044.47040MaRDI QIDQ4709799

Jean-Paul Penot

Publication date: 19 August 2003

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

zbMATH Keywords

generalized convexitymaximal monotone operatorconvex representation

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Axiomatic and generalized convexity (52A01)

Related Items (9)

Autoconjugate representers for linear monotone operators ⋮ Global optimization of the difference of two increasing plus-convex-along-rays functions ⋮ An additive subfamily of enlargements of a maximally monotone operator ⋮ Subdifferentials with autoconjugate Fitzpatrick function ⋮ Some criteria for maximal abstract monotonicity ⋮ Vector topical functions and Farkas type theorems with applications ⋮ Maximal abstract monotonicity and generalized Fenchel's conjugation formulas ⋮ The kernel average for two convex functions and its application to the extension and representation of monotone operators ⋮ Representation of generalized monotone multimaps

Cites Work

• Unnamed Item
• Minimax monotonicity
• A representation of arbitrary maximal monotone operators via subgradients of skew-symmetric saddle functions
• On the Maximality of the Sum of Monotone Operators
• An Extension of Duality-Stability Relations to Nonconvex Optimization Problems
• Variational Analysis
• Subdifferentials with respect to dualities
• What is quasiconvex analysis?
• Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming
• On Quasi-Convex Duality
• Abstract convexity and global optimization

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