Variational properties of the abstract subdifferential operator

DOI10.1007/S10957-024-02583-3MaRDI QIDQ6661705

R. Díaz Millán, N. Sukhorukova, Julien Ugon

Publication date: 13 January 2025

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

abstract monotonicityabstract subdifferentialabstract convex functions

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Axiomatic and generalized convexity (52A01) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Optimization of the difference of topical functions
• Some criteria for maximal abstract monotonicity
• Generalized Fenchel's conjugation formulas and duality for abstract convex functions
• Global optimality conditions for some classes of optimization problems
• On the variational principle
• Maximal abstract monotonicity and generalized Fenchel's conjugation formulas
• An appropriate subdifferential for quasiconvex functions
• Abstract Convexity and Augmented Lagrangians
• Maximal monotonicity of the subdifferential of a convex function: a direct proof
• A simple closure condition for the normal cone intersection formula
• Zero duality gap conditions via abstract convexity
• POSITIVELY HOMOGENEOUS FUNCTIONS AND MAXIMAL ABSTRACT MONOTONICITY
• MINKOWSKI DUALITY AND ITS APPLICATIONS
• A survey of methods of abstract convex programming
• Abstract convexity and global optimization

This page was built for publication: Variational properties of the abstract subdifferential operator

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6661705)