Disconnectedness and unboundedness of the solution sets of monotone vector variational inequalities

DOI10.1080/00036811.2019.1608962zbMath1456.49011arXiv1804.01078OpenAlexW4299968493MaRDI QIDQ5148327

Vu Trung Hieu

Publication date: 3 February 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.01078

zbMATH Keywords

solution setunboundednessdisconnectednessscalarization formulamonotone vector variational inequality

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Connected and locally connected spaces (general aspects) (54D05)

Cites Work

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• Numbers of the connected components of the solution sets of monotone affine vector variational inequalities
• Continuousization of the family of point-to-set maps and its applications
• Polynomial Vector Variational Inequalities under Polynomial Constraints and Applications
• Monotone affine vector variational inequalities
• Generalized equations and their solutions, Part I: Basic theory
• Vector variational inequality as a tool for studying vector optimization problems
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• A result on vector variational inequalities with polyhedral constraint sets

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