A result on vector variational inequalities with polyhedral constraint sets

DOI10.1023/A:1017522107088zbMath1001.90061MaRDI QIDQ5942351

Nguyen Dong Yen, Gue Myung Lee

Publication date: 28 August 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Pareto solution setspolyhedral constraint setsvector variational inequalities

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Variational inequalities (49J40)

Related Items (13)

Connectedness structure of the solution sets of vector variational inequalities ⋮ An introduction to vector variational inequalities and some new results ⋮ Semicontinuity results on parametric vector variational inequalities with polyhedral constraint sets ⋮ On the unconstrained optimization reformulations for a class of stochastic vector variational inequality problems ⋮ Monotone affine vector variational inequalities ⋮ Disconnectedness and unboundedness of the solution sets of monotone vector variational inequalities ⋮ Numbers of the connected components of the solution sets of monotone affine vector variational inequalities ⋮ New results on proper efficiency for a class of vector optimization problems ⋮ Vector variational inequalities for nondifferentiable convex vector optimization problems ⋮ On solution sets for affine vector variational inequality ⋮ Continuity results and error bounds on pseudomonotone vector variational inequalities via scalarization ⋮ Polynomial Vector Variational Inequalities under Polynomial Constraints and Applications ⋮ A property of bicriteria affine vector variational inequalities

Cites Work

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• Theory of multiobjective optimization
• Proper efficiency and the theory of vector maximization
• Continuousization of the family of point-to-set maps and its applications
• Vector variational inequality as a tool for studying vector optimization problems

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