Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria

DOI10.1007/s11425-011-4287-5zbMath1266.90182OpenAlexW2264534529MaRDI QIDQ424319

Nan-Jing Huang, Jun Li

Publication date: 31 May 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4287-5

zbMATH Keywords

variational inequalityimage space analysislinear separationnecessary and sufficient optimality conditiontraffic equilibrium

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (23)

Semidefinite programming via image space analysis ⋮ Stability of the set of solutions for generalized vector equilibrium problems with cone constraints ⋮ Nonlinear separation functions, optimality conditions and error bounds for Ky Fan quasi-inequalities ⋮ Image convexity of generalized systems with infinite-dimensional image and applications ⋮ Set-valued systems with infinite-dimensional image and applications ⋮ Nonlocal double phase complementarity systems with convection term and mixed boundary conditions ⋮ Optimality conditions for generalized Ky Fan quasi-inequalities with applications ⋮ Constrained extremum problems and image space analysis. I: Optimality conditions ⋮ Refinements on gap functions and optimality conditions for vector quasi-equilibrium problems via image space analysis ⋮ Image space analysis for constrained inverse vector variational inequalities via multiobjective optimization ⋮ Characterizations for optimality conditions of general robust optimization problems ⋮ Characterizations of multiobjective robustness via oriented distance function and image space analysis ⋮ Robustness characterizations for uncertain optimization problems via image space analysis ⋮ Optimization problems with cone constraints in groups and semigroups: an approach based on image space analysis ⋮ Optimality conditions of robust convex multiobjective optimization viaε-constraint scalarization and image space analysis ⋮ Nonlinear separation functions and constrained extremum problems ⋮ Vector variational-like inequalities with constraints: separation and alternative ⋮ Vector quasi-equilibrium problems: separation, saddle points and error bounds for the solution set ⋮ Nonlinear separation approach to inverse variational inequalities in real linear spaces ⋮ A unified approach through image space analysis to robustness in uncertain optimization problems ⋮ Nonlinear separation approach to inverse variational inequalities ⋮ Gap functions and error bounds for weak vector variational inequalities ⋮ Vector-valued separation functions and constrained vector optimization problems: optimality and saddle points

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