Equilibrium conditions and vector variational inequalities: a complex relation

DOI10.1007/s10898-007-9202-9zbMath1221.90036OpenAlexW2048800360MaRDI QIDQ2481099

Fabio Raciti

Publication date: 14 April 2008

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-007-9202-9

zbMATH Keywords

vector variational inequalityPareto optimizationtraffic networkequilibrium flow (Wardrop equilibrium)multiobjective multiclass problem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Traffic problems in operations research (90B20) General equilibrium theory (91B50)

Related Items (21)

Connectedness structure of the solution sets of vector variational inequalities ⋮ Equilibrium in multi-criteria transportation networks ⋮ Contingent derivatives and necessary efficiency conditions for vector equilibrium problems with constraints ⋮ An extension of the basic constraint qualification to nonconvex vector optimization problems ⋮ A Variational Approach to the Evolutionary Financial Equilibrium Problem with Memory Terms and Adaptive Constraints ⋮ Robust equilibrium in transportation networks ⋮ Well-posedness and existence for the weak multicriteria Nash equilibrium of multicriteria games ⋮ Traffic network equilibrium problems with capacity constraints of arcs and linear scalarization methods ⋮ On Optimality Conditions for Henig Efficiency and Superefficiency in Vector Equilibrium Problems ⋮ Equilibrium in a vector supply–demand network with capacity constraints ⋮ Characterization results of weak sharp solutions for split variational inequalities with application to traffic analysis ⋮ Remarks on infinite dimensional duality ⋮ Equilibrium in multi-criteria supply and demand networks with capacity constraints ⋮ On vector formulations of auction-type problems with applications ⋮ On Efficiency Conditions for Nonsmooth Vector Equilibrium Problems with Equilibrium Constraints ⋮ Unnamed Item ⋮ Some topics in vector optimization via image space analysis ⋮ On generalized Nash equilibrium in infinite dimension: the Lagrange multipliers approach ⋮ Smoothing method in multi-criteria transportation network equilibrium problem ⋮ Cooperation in traffic network problems via evolutionary split variational inequalities ⋮ Weighted quasi-variational inequalities in non-pivot Hilbert spaces and applications

Cites Work

• On vector variational inequalities: Application to vector equilibria
• Vector variational inequalities and vector equilibria. Mathematical theories
• Time-dependent traffic equilibria
• A Multiproduct, Multicriterion Supply-Demand Network Equilibrium Model
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