Characterizing the nonemptiness and compactness of the solution set of a vector variational inequality by scalarization

DOI10.1007/s10957-012-0224-1zbMath1315.90055OpenAlexW1996197420MaRDI QIDQ467452

Xue Xiang Huang, Xiao Qi Yang, Ya-Ping Fang

Publication date: 3 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10957-012-0224-1

zbMATH Keywords

vector optimizationscalarizationsolution setvector variational inequalitypseudomonotonicity

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (7)

Scalarization and optimality conditions for the approximate solutions to vector variational inequalities in Banach spaces ⋮ Generalized proximal-type methods for weak vector variational inequality problems in Banach spaces ⋮ Connectedness of solution sets for weak vector variational inequalities on unbounded closed convex sets ⋮ Degree theory and solution existence of set-valued vector variational inequalities in reflexive Banach spaces ⋮ Nonemptiness and boundedness of solution sets for vector variational inequalities via topological method ⋮ On the characterization of the solution set for vector equilibrium problem ⋮ Asymptotic analysis for proximal-type methods in vector variational inequality problems

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