A note on the lower semicontinuity of efficient solutions for parametric vector equilibrium problems

DOI10.1016/j.aml.2012.11.010zbMath1264.90156OpenAlexW2046021185MaRDI QIDQ1940688

Yanyan Li

Publication date: 7 March 2013

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.11.010

zbMATH Keywords

lower semicontinuityefficient solutionsparametric vector equilibrium problemsweak efficient solutions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (12)

Semicontinuity of approximate solution mappings to generalized vector equilibrium problems ⋮ Solution continuity of parametric generalized vector equilibrium problems with strictly pseudomonotone mappings ⋮ Stability of approximate solution mappings for generalized Ky Fan inequality ⋮ On the stability of the solution set mappings to parametric set optimization problems ⋮ Existence and stability of solutions for a class of generalized vector equilibrium problems ⋮ Lower semicontinuity of solutions for order-perturbed parametric vector equilibrium problems ⋮ Lower semicontinuity of approximate solution mappings for a parametric generalized strong vector equilibrium problem ⋮ Semicontinuity of Solution Mappings to Parametric Generalized Vector Equilibrium Problems ⋮ Upper semicontinuity of solution mappings to parametric generalized vector quasiequilibrium problems ⋮ Upper order-preservation of the solution correspondence to vector equilibrium problems ⋮ Lower semicontinuity of solution mapping to parametric generalized strong vector equilibrium problems ⋮ Continuity of the solution mappings to parametric generalized vector equilibrium problems

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