A new extragradient-type method for mixed variational inequalities

DOI10.1016/j.orl.2015.08.009zbMath1408.90290OpenAlexW2192264643MaRDI QIDQ1785433

Guo-ji Tang, Ming Zhu, Huan-Wen Liu

Publication date: 28 September 2018

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.orl.2015.08.009

zbMATH Keywords

extragradient methodmixed variational inequality$f$-pseudomonotonicity

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)

Related Items (11)

Self-adaptive predictor-corrector approach for general variational inequalities using a fixed-point formulation ⋮ Properties of the Solution Set of a Class of Mixed Variational Inqualities ⋮ Lagrangian methods for optimal control problems governed by a mixed quasi-variational inequality ⋮ Inertial extragradient type method for mixed variational inequalities without monotonicity ⋮ A self-adaptive technique for solving variational inequalities: a new approach to the problem ⋮ Existence results of a perturbed variational inequality with a fuzzy mapping ⋮ A projection-type method for generalized variational inequalities with dual solutions ⋮ Auxiliary principle for a system of generalized set-valued nonlinear mixed variational-like inequalities in Banach spaces ⋮ A new projection-type method for solving multi-valued mixed variational inequalities without monotonicity ⋮ Strong Convergence of a Projection-Type Method for Mixed Variational Inequalities in Hilbert Spaces ⋮ A new modified subgradient extragradient method for solving variational inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Projected subgradient method for non-Lipschitz set-valued mixed variational inequalities
• Korpelevich's method for variational inequality problems in Banach spaces
• A projected subgradient method for solving generalized mixed variational inequalities
• Rate of convergence for proximal point algorithms on Hadamard manifolds
• Mixed variational inequalities and economic equilibrium problems
• Descent methods for mixed variational inequalities in a Hilbert space.
• A new relative error criterion for the proximal point algorithm
• A new double projection algorithm for variational inequalities
• Splitting Algorithms for the Sum of Two Nonlinear Operators
• A New Projection Method for Variational Inequality Problems
• A class of decomposition methods for convex optimization and monotone variational inclusions via the hybrid inexact proximal point framework
• On the Finite Element Method for Mixed Variational Inequalities Arising in Elastoplasticity
• Strong convergence of an inexact projected subgradient method for mixed variational inequalities
• A combined method for variational inequalities with monotone operators

This page was built for publication: A new extragradient-type method for mixed variational inequalities