Vector equilibrium problem and vector optimization

DOI10.1016/S0377-2217(98)00047-2zbMath1009.90093MaRDI QIDQ1610182

C. J. Goh, Xiao Qi Yang

Publication date: 18 August 2002

Published in: European Journal of Operational Research (Search for Journal in Brave)

zbMATH Keywords

vector optimizationvector equilibriumparametric complementarity problemparametric equilibrium

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Combinatorial optimization (90C27) Traffic problems in operations research (90B20)

Related Items (27)

Equilibrium in multi-criteria transportation networks ⋮ Differential and sensitivity properties of gap functions for Minty vector variational inequalities ⋮ A remark on a standard and linear vector network equilibrium problem with capacity constraints ⋮ Approximate solutions in nonsmooth and nonconvex cone constrained vector optimization ⋮ Vector equilibrium problems with elastic demands and capacity constraints ⋮ A note on vector network equilibrium principles ⋮ Vector network equilibrium problems with capacity constraints of arcs and nonlinear scalarization methods ⋮ On existence of vector equilibrium flows with capacity constraints of arcs ⋮ Robust equilibrium in transportation networks ⋮ Traffic network equilibrium problems with capacity constraints of arcs and linear scalarization methods ⋮ Well-posedness of multicriteria network equilibrium problem ⋮ Gap function for set-valued vector variational-like inequalities ⋮ Solving multi-objective traffic assignment ⋮ Equilibrium in a vector supply–demand network with capacity constraints ⋮ Dynamic traffic network equilibrium system ⋮ Vector equilibrium flows with nonconvex ordering relations ⋮ Equilibrium in multi-criteria supply and demand networks with capacity constraints ⋮ The study of traffic equilibrium problems with capacity constraints of arcs ⋮ A scalarization approach for vector variational inequalities with applications ⋮ Some existence results for vector quasivariational inequalities involving multifunctions and applications to traffic equilibrium problems ⋮ The path player game ⋮ Sensitivity analysis for multivalued quasiequilibrium problems in metric spaces: Hölder continuity of solutions ⋮ Gap functions and existence of solutions to set-valued vector variational inequalities ⋮ Hölder continuity of the unique solution to quasiequilibrium problems in metric spaces ⋮ Smoothing method in multi-criteria transportation network equilibrium problem ⋮ Sensitivity analysis of gap functions for vector variational inequality via coderivatives ⋮ Coderivatives of gap function for minty vector variational inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Theory of multiobjective optimization
• The convergence rate of the sandwich algorithm for approximating convex functions
• A multicriteria Pareto-optimal path algorithm
• Analytic efficient solution set for multi-criteria quadratic programs
• Cost versus time equilibrium over a network
• On vector variational inequalities: Application to vector equilibria
• Network economics: a variational inequality approach
• Proper efficiency and the theory of vector maximization
• Nonlinear cost network models in transportation analysis
• Iterative methods for variational and complementarity problems
• Vector variational inequality and its duality

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