Symmetric strong vector quasi-equilibrium problems

DOI10.1007/s00186-006-0114-0zbMath1159.90480OpenAlexW2076090477MaRDI QIDQ1006542

J. Martínez

Publication date: 25 March 2009

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-006-0114-0

zbMATH Keywords

existence theoremstrong saddle pointsymmetric strong vector quasi-equilibrium problemsvector-valued properly quasi-convex function

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Multi-objective and goal programming (90C29) Variational inequalities (49J40) Programming in abstract spaces (90C48)

Related Items (15)

GENERALIZED IMPLICIT INCLUSION PROBLEMS ON NONCOMPACT SETS WITH APPLICATIONS ⋮ Symmetric strong vector quasiequilibrium problems in Hausdorff locally convex spaces ⋮ On a new generalized symmetric vector equilibrium problem ⋮ Generalized strong vector quasi-equilibrium problem with domination structure ⋮ Technical note on the existence of solutions for generalized symmetric set-valued quasi-equilibrium problems utilizing improvement set ⋮ Upper semicontinuity result for the solution mapping of a mixed parametric generalized vector quasiequilibrium problem with moving cones ⋮ On the stability of solution mapping for parametric generalized vector quasiequilibrium problems ⋮ On the existence of solutions of symmetric vector equilibrium problems via nonlinear scalarization ⋮ Connectedness of solution sets for weak generalized symmetric Ky Fan inequality problems via addition-invariant sets ⋮ Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems ⋮ Optimality conditions for vector equilibrium problems ⋮ Existence and stability of solutions for implicit multivalued vector equilibrium problems ⋮ Sensitivity in mixed generalized vector quasiequilibrium problems with moving cones ⋮ Optimality conditions for strong vector equilibrium problems under a weak constraint qualification ⋮ Levitin–Polyak well-posedness of symmetric vector quasi-equilibrium problems

Cites Work

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• Symmetric vector quasi-equilibrium problems
• On the existence of solutions of quasivariational inclusion problems
• Minimax theorems and cone saddle points of uniformly same-order vector- valued functions
• Existence theorems for saddle points of vector-valued maps
• A saddlepoint theorem for set-valued maps

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