A topological convergence on power sets well-suited for set optimization

DOI10.1007/s10898-018-0712-4zbMath1417.49017OpenAlexW2896281007WikidataQ129092118 ScholiaQ129092118MaRDI QIDQ2416579

Michel H. Geoffroy

Publication date: 23 May 2019

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-018-0712-4

zbMATH Keywords

convergenceset-valued optimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Uses Software

• BENSOLVE

Cites Work

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• Relative Pareto minimizers for multiobjective problems: Existence and optimality conditions
• \(\epsilon\)-solutions in vector minimization problems
• The algebra of many-valued quantities
• Convergence of relaxed minimizers in set optimization
• On set-valued optimization.
• Set Optimization—A Rather Short Introduction
• A Survey of Set Optimization Problems with Set Solutions
• Vector Optimization
• Vector Optimization with Infimum and Supremum
• Variational Analysis
• On cone convexity of set-valued maps
• Set-valued Optimization

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