Gap functions and existence of solutions to generalized vector variational inequalities

DOI10.1016/j.aml.2004.06.029zbMath1079.49006OpenAlexW2049419712MaRDI QIDQ812646

Zhong-Quan He, Jun Li

Publication date: 24 January 2006

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

Full work available at URL: https://doi.org/10.1016/j.aml.2004.06.029

zbMATH Keywords

existence of solutionspoint-to-set mappingsgap functionsgeneralized vector variational inequalitiesKKM-mappings

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53) Set-valued operators (47H04)

Related Items (13)

Levitin-Polyak well-posedness by perturbations for systems of set-valued vector quasi-equilibrium problems ⋮ Stability of a solution set for parametric generalized vector mixed quasivariational inequality problem ⋮ Generalized vector variational-like inequalities ⋮ An extension of gap functions for a system of vector equilibrium problems with applications to optimization problems ⋮ Gap functions for a system of generalized vector quasi-equilibrium problems with set-valued mappings ⋮ Gap functions and existence of solutions for a system of vector equilibrium problems ⋮ Existence of solutions of systems of generalized implicit vector variational inequalities ⋮ A gap function and existence of solutions for a non-smooth vector variational inequality on Hadamard manifolds ⋮ Strong vector variational like inequality problems with properly quasimonotone bifunctions ⋮ Vector variational inequalities involving set-valued mappings via scalarization with applications to error bounds for gap functions ⋮ Generalized vector \(F\)-variational inequalities and vectorf-complementarity problems for point-to-set mappings ⋮ MiPSP and MaPSP for prevariational inequalities with set-valued mappings ⋮ An Oriented Distance Function Application to Gap Functions for Vector Variational Inequalities

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