Variational principles for maximization problems with lower-semicontinuous goal functions

DOI10.1007/s11228-021-00604-1zbMath1490.49012OpenAlexW3199454519MaRDI QIDQ2670980

Yanyan Li

Publication date: 3 June 2022

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-021-00604-1

zbMATH Keywords

topological gamefragmentable setsstrong maximumvariational principle in optimization

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Baire category, Baire spaces (54E52) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27)

Cites Work

• Variational principles and topological games
• Optimization of functions on certain subsets of Banach spaces
• A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions
• On the variational principle
• Fragmentability of open sets and topological games
• Spaces with fragmentable open sets
• A Smooth Variational Principle With Applications to Subdifferentiability and to Differentiability of Convex Functions
• The Banach-Mazur Game and Generic Existence of Solutions to Optimization Problems
• Topological games and optimization problems
• Generic well‐posedness of optimization problems in topological spaces
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