Implicit vector equilibrium problems via nonlinear scalarisation

DOI10.1017/S000497270003495XzbMath1081.49008OpenAlexW1971576367MaRDI QIDQ5694937

Jun Li, Nan-Jing Huang

Publication date: 5 October 2005

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270003495x

zbMATH Keywords

existence resultsscalarization methodimplicit vector equilibrium problems

Mathematics Subject Classification ID

Variational inequalities (49J40) General equilibrium theory (91B50)

Related Items (9)

Gap functions and existence of solution of simultaneous equilibrium problems ⋮ Connectedness of approximate solutions set for vector equilibrium problems in Hausdorff topological vector spaces ⋮ Generalized symmetric vector quasiequilibrium problems ⋮ 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 error bounds for generalized mixed vector equilibrium problems ⋮ LOWER SEMICONTINUITY OF PARAMETRIC GENERALIZED WEAK VECTOR EQUILIBRIUM PROBLEMS ⋮ Vector variational inequalities involving set-valued mappings via scalarization with applications to error bounds for gap functions ⋮ On generalized implicit vector equilibrium problems in topological ordered spaces

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• An existence result for the generalized vector equilibrium problem
• Generalized monotone bifunctions and equilibrium problems
• On vector variational inequalities
• Efficiency and Henig efficiency for vector equilibrium problems.
• Characterizations of variable domination structures via nonlinear scalarization

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