On the stability of a dual weak vector variational inequality problem

DOI10.3934/jimo.2008.4.155zbMath1180.90339OpenAlexW2327365606MaRDI QIDQ999237

Sheng Jie Li, Zhi-Miao Fang

Publication date: 3 February 2009

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2008.4.155

zbMATH Keywords

upper semicontinuitylower semicontinuitynonlinear scalarization functionparametric gap function

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (11)

Global solutions to a class of CEC benchmark constrained optimization problems ⋮ Error analysis of approximate solutions to parametric vector quasiequilibrium problems ⋮ Global optimal solutions to a class of quadrinomial minimization problems with one quadratic constraint ⋮ On zero duality gap in nonconvex quadratic programming problems ⋮ On duality gap in binary quadratic programming ⋮ Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem ⋮ Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems ⋮ Canonical dual approach to solving the maximum cut problem ⋮ On reduction of duality gap in quadratic knapsack problems ⋮ Duality and solutions for quadratic programming over single non-homogeneous quadratic constraint ⋮ Solution semicontinuity of parametric generalized vector equilibrium problems

This page was built for publication: On the stability of a dual weak vector variational inequality problem