Vector network equilibrium problems and nonlinear scalarization methods

zbMath0939.90014MaRDI QIDQ1974575

C. J. Goh, Guang-Ya Chen, Xiao Qi Yang

Publication date: 7 May 2000

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

zbMATH Keywords

variational inequalitiesscalarization methodsstrictly monotone functionsmulticriteria network equilibrium

Mathematics Subject Classification ID

Programming involving graphs or networks (90C35) Multi-objective and goal programming (90C29)

Related Items (30)

Equilibrium in multi-criteria transportation networks ⋮ Hölder continuity of the unique solution to parametric vector quasiequilibrium problems via nonlinear scalarization ⋮ 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 ⋮ Vector equilibrium problems with elastic demands and capacity constraints ⋮ Nonconvex scalarization in set optimization with set-valued maps ⋮ A note on vector network equilibrium principles ⋮ Continuity and convexity of a nonlinear scalarizing function in set optimization problems with applications ⋮ Scalarization of Henig properly efficient points in locally convex spaces ⋮ Generalized minimax inequalities for set-valued mappings ⋮ Levitin-Polyak well-posedness by perturbations for systems of set-valued vector quasi-equilibrium problems ⋮ Nonconvex vector optimization of set-valued mappings. ⋮ Robust equilibrium in transportation networks ⋮ Stability and sensitivity analysis of solutions to weak vector variational inequalities ⋮ Super efficiency of multicriterion network equilibrium model and vector variational inequality ⋮ Traffic network equilibrium problems with capacity constraints of arcs and linear scalarization methods ⋮ Optimality conditions and minimax properties in set optimization ⋮ Solving multi-objective traffic assignment ⋮ Regularized nonlinear scalarization for vector optimization problems with PDE-constraints ⋮ Network equilibrium of production, transportation and pricing for multi-product multi-market ⋮ Scalarization and pointwise well-posedness in vector optimization problems ⋮ Bilevel minimax theorems for non-continuous set-valued mappings ⋮ Equilibrium in multi-criteria supply and demand networks with capacity constraints ⋮ Characterizations of variable domination structures via nonlinear scalarization ⋮ Solvability of vector Ky Fan inequalities with applications ⋮ Levitin-polyak well-posedness of vector equilibrium problems ⋮ Smoothing method in multi-criteria transportation network equilibrium problem ⋮ Error bound analysis for vector equilibrium problems with partial order provided by a polyhedral cone ⋮ Nonlinear scalarizing functions in set optimization problems ⋮ Error bounds of regularized gap functions for weak vector variational inequality problems

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