New alternating direction method for a class of nonlinear variational inequality problems

DOI10.1023/A:1017964015910zbMath0996.49003OpenAlexW1499921008WikidataQ59297298 ScholiaQ59297298MaRDI QIDQ1599285

R. Smith

Publication date: 9 June 2002

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1017964015910

zbMATH Keywords

traffic assignmentalternating direction methodspatial price equilibriumcocoercive variational inequalities

Mathematics Subject Classification ID

Special types of economic equilibria (91B52) Variational inequalities (49J40) Traffic problems in operations research (90B20)

Related Items (19)

Solving non-additive traffic assignment problems: a descent method for co-coercive variational inequalities ⋮ Solving the dynamic user optimal assignment problem considering queue spillback ⋮ An extended alternating direction method for variational inequality problems with linear equality and inequality constraints ⋮ A new decomposition method for variational inequalities with linear constraints ⋮ Two new self-adaptive descent methods without line search for co-coercive structured variational inequality problems ⋮ New decomposition methods for solving variational inequality problems. ⋮ A proximal decomposition algorithm for variational inequality problems. ⋮ A new alternating direction method for solving variational inequalities ⋮ Doubly uncertain transportation network: degradable capacity and stochastic demand ⋮ A discrete-time neural network for solving nonlinear convex problems with hybrid constraints ⋮ A new self-adaptive alternating direction method for variational inequality problems with linear equality and inequality constraints ⋮ A modified descent method for co-coercive variational inequalities ⋮ A new alternating direction method for co-coercive variational inequality problems ⋮ New parallel descent-like method for solving a class of variational inequalities ⋮ Inexact decomposition methods for solving variational inequalities with linear equality constraint ⋮ An alternating direction method for general variational inequalities ⋮ A simple self-adaptive alternating direction method for linear variational inequality problems ⋮ A neural network for monotone variational inequalities with linear constraints ⋮ Comparison of methods for path flow reassignment for dynamic user equilibrium

Cites Work

• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Auxiliary problem principle extended to variational inequalities
• A projection and contraction method for a class of linear complementarity problems and its application in convex quadratic programming
• A dual algorithm for the solution of nonlinear variational problems via finite element approximation
• A modified alternating direction method for convex minimization problems
• A globally convergent Newton method for solving strongly monotone variational inequalities
• Projection methods for variational inequalities with application to the traffic assignment problem
• Transportation Network Policy Modeling with Goal Targets and Generalized Penalty Functions
• Co-Coercivity and Its Role in the Convergence of Iterative Schemes for Solving Variational Inequalities
• On the basic theorem of complementarity

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