A new alternating direction method for solving variational inequalities

DOI10.1016/J.CAMWA.2011.05.043zbMath1228.65101OpenAlexW2026262421MaRDI QIDQ651537

Juan-Miguel Gracia

Publication date: 18 December 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.05.043

zbMATH Keywords

variational inequalitiesmonotone operatorsalternating direction methods

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical methods for variational inequalities and related problems (65K15)

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Cites Work

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• A new alternating direction method for co-coercive variational inequality problems
• A dual algorithm for the solution of nonlinear variational problems via finite element approximation
• New alternating direction method for a class of nonlinear variational inequality problems
• A new stepsize rule in He and Zhou's alternating direction method
• A modified alternating direction method for convex minimization problems
• Self-adaptive projection method for co-coercive variational inequalities
• A simple proof for some important properties of the projection mapping
• A modified alternating direction method for variational inequality problems.

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