The Fenchel duality formula, The Ekeland variational principle, and Rockafellar's Theorem for maximal monotonicity of subdifferentials

DOI10.1080/02331934.2021.1885033OpenAlexW3133584106MaRDI QIDQ5039389

Takahashi, Wataru, Yukio Takeuchi

Publication date: 12 October 2022

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2021.1885033

zbMATH Keywords

minimization problemsRockafellar's theorem for maximal monotonicity of subdifferentialsTakahashi's nonconvex minimization thoremthe Ekeland variational principlethe Fenchel duality formula

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Perturbations of nonlinear operators (47H14)

Cites Work

• Convex functions, monotone operators and differentiability.
• Totally convex functions for fixed points computation and infinite dimensional optimization
• On the variational principle
• On the maximal monotonicity of subdifferential mappings
• On the Subdifferentiability of Convex Functions
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