Sufficient conditions for a minimum of a strongly quasiconvex function on a weakly convex set

DOI10.1134/S0001434622010059zbMath1489.90114OpenAlexW4213455454MaRDI QIDQ2113393

S. I. Dudov, M. A. Osiptsev

Publication date: 14 March 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622010059

zbMATH Keywords

normal conesubdifferentialradius of neighborhood of local minimumstrongly and weakly convex sets and functionsstrongly quasiconvex functionsufficient conditions for minimum

Mathematics Subject Classification ID

Convex programming (90C25)

Cites Work

• Relaxation methods for minimization of pseudoconvex functions
• A note on strongly convex and quasiconvex functions
• Subgradient methods for sharp weakly convex functions
• Sufficient global optimality conditions for weakly convex minimization problems
• Prox-regular sets and epigraphs in uniformly convex Banach spaces: Various regularities and other properties
• Strong and Weak Convexity of Sets and Functions
• Curvature Measures
• Characterization of solutions of strong-weak convex programming problems
• Optimization and nonsmooth analysis
• Local differentiability of distance functions
• Stochastic Methods for Composite and Weakly Convex Optimization Problems
• Prox-regular functions in variational analysis
• Error Bounds, Quadratic Growth, and Linear Convergence of Proximal Methods
• Gradient Projection and Conditional Gradient Methods for Constrained Nonconvex Minimization
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