Scalarization approaches for set-valued vector optimization problems and vector variational inequalities

DOI10.1016/j.jmaa.2009.03.040zbMath1176.90538OpenAlexW1988098345MaRDI QIDQ1025036

Nan-Jing Huang, Sy-Ming Guu, Jun Li

Publication date: 18 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.03.040

zbMATH Keywords

convexityset-valued mappingscalarizationvector optimization problemvector variational inequality

Mathematics Subject Classification ID

Convex programming (90C25) Multi-objective and goal programming (90C29)

Related Items (12)

Set-valued systems with infinite-dimensional image and applications ⋮ A combined scalarization method for multi-objective optimization problems ⋮ A unified approach for constrained extremum problems: image space analysis ⋮ Approximate weak minimal solutions of set-valued optimization problems ⋮ Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria ⋮ A characterization of super efficiency in vector equilibrium problems ⋮ Scalarization of set-valued optimization problems and variational inequalities in topological vector spaces ⋮ Existence of solutions of new generalized mixed vector variational-like inequalities in reflexive Banach spaces ⋮ Semicontinuity of the minimal solution set mappings for parametric set-valued vector optimization problems ⋮ Existence of solutions for \(\eta \)-generalized vector variational-like inequalities ⋮ Image space analysis for vector variational inequalities with matrix inequality constraints and applications ⋮ On regularity for constrained extremum problems. II: Necessary optimality conditions

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• Theory of multiobjective optimization
• Vector variational inequalities and vector equilibria. Mathematical theories
• Vector optimization. Set-valued and variational analysis.
• A scalarization approach for vector variational inequalities with applications
• Scalarization in vector optimization

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