Set Optimization Meets Variational Inequalities

DOI10.1007/978-3-662-48670-2_7zbMath1337.49023arXiv1303.4212OpenAlexW1838297211MaRDI QIDQ2805758

Carola Schrage, Giovanni Paolo Crespi

Publication date: 13 May 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4212

zbMATH Keywords

vector optimizationvariational inequalitiesscalarizationset optimizationDini derivatives

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53)

Related Items (5)

Applying set optimization to weak efficiency ⋮ A Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimization ⋮ A Minty variational principle for set optimization ⋮ Variational inequalities characterizing weak minimality in set optimization ⋮ Levitin-Polyak well-posedness for set optimization problems involving set order relations

Uses Software

• BENSOLVE

Cites Work

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• Some remarks on the Minty vector variational inequality
• A duality theory for set-valued functions. I: Fenchel conjugation theory
• Some remarks on the Minty vector variational principle
• \(({\ast},s)\)-dualities
• Continuity concepts for set-valued functions and a fundamental duality formula for set-valued optimization
• Existence theorems for set optimization problems
• First-order optimality conditions in set-valued optimization
• Notes about extended real- and set-valued functions
• Vector Optimization with Infimum and Supremum

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