Vector variational-like inequalities with generalized bifunctions defined on nonconvex sets

DOI10.1016/j.na.2009.01.137zbMath1182.47046OpenAlexW2048195374MaRDI QIDQ923944

Sy-Ming Guu, Jun Li

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.137

zbMATH Keywords

vector variational-like inequalitygeneralised invexitygeneralised pseudoconvexitygeneralised weak cone-pseudomonotonicityvector optimisation problem

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Variational and other types of inequalities involving nonlinear operators (general) (47J20)

Related Items (13)

Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators ⋮ On the well-posedness of differential mixed quasi-variational-inequalities ⋮ Equilibrium problems with generalized monotone mapping and its applications ⋮ Existence and stability of solutions for a class of generalized vector equilibrium problems ⋮ Nonsmooth multiobjective optimization problems and weak vector quasi-variational inequalities ⋮ A study on vector variational-like inequalities using convexificators and application to its bi-level form ⋮ Iterative schemes for a class of mixed trifunction variational inequalities ⋮ Strict feasibility and stable solvability of bifunction variational inequalities ⋮ Bilevel invex equilibrium problems with applications ⋮ Nonsmooth variational-like inequalities and nonsmooth vector optimization ⋮ P-strict feasibility of bifunction variational inequalities in reflexive Banach spaces ⋮ On bilevel variational inequalities ⋮ Nonsmooth quasi-variational-like inequalities with applications to nonsmooth vector quasi-optimization

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