Maximal abstract monotonicity and generalized Fenchel's conjugation formulas

DOI10.1007/s11228-009-0124-1zbMath1218.47072OpenAlexW2028595867MaRDI QIDQ2270208

Andrew S. Eberhard, Hossein Mohebi

Publication date: 15 March 2010

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

Full work available at URL: https://doi.org/10.1007/s11228-009-0124-1

zbMATH Keywords

monotone operatorabstract convexityFenchel's conjugation formulamaximal abstract monotonicity

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Axiomatic and generalized convexity (52A01) Convexity of real functions in one variable, generalizations (26A51)

Related Items (8)

Duality for composite optimization problem within the framework of abstract convexity ⋮ Global optimization of the difference of two increasing plus-convex-along-rays functions ⋮ Zero duality gap conditions via abstract convexity ⋮ On duality for nonconvex minimization problems within the framework of abstract convexity ⋮ Characterizing approximate global minimizers of the difference of two abstract convex functions with applications ⋮ Generalized positive sets and abstract monotonicity ⋮ Vector topical function, abstract convexity and image space analysis ⋮ Some criteria for maximal abstract monotonicity

Cites Work

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