Zero duality gap conditions via abstract convexity

DOI10.1080/02331934.2021.1910694zbMath1489.90133arXiv1910.08156OpenAlexW3156884384MaRDI QIDQ5077155

Hoa T. Bui, David Yost, Alexander Y. Kruger, Regina Sandra Burachik

Publication date: 18 May 2022

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.08156

zbMATH Keywords

abstract convexityzero duality gapinf-convolutionFenchel conjugate\(\varepsilon\)-subdifferentials sum rule

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Axiomatic and generalized convexity (52A01) Existence theories for problems in abstract spaces (49J27) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (7)

Duality for composite optimization problem within the framework of abstract convexity ⋮ Relaxed Lagrangian duality in convex infinite optimization: reducibility and strong duality ⋮ Regularly abstract convex functions with respect to the set of Lipschitz continuous concave functions ⋮ Lifting the Convex Conjugate in Lagrangian Relaxations: A Tractable Approach for Continuous Markov Random Fields ⋮ Dualities for Non-Euclidean Smoothness and Strong Convexity under the Light of Generalized Conjugacy ⋮ Optimization of first-order Nicoletti boundary value problem with discrete and differential inclusions and duality ⋮ Unnamed Item

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