Maximal abstract monotonicity and generalized Fenchel's conjugation formulas
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Publication:2270208
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
Monotone operators and generalizations (47H05) Axiomatic and generalized convexity (52A01) Convexity of real functions in one variable, generalizations (26A51)
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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
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