Self-adaptive inertial extragradient algorithms for solving variational inequality problems

DOI10.1007/s40314-020-01393-3OpenAlexW3034132873MaRDI QIDQ2027711

Jingjing Fan, Songxiao Li, Bing Tan

Publication date: 28 May 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.04287

zbMATH Keywords

variational inequality probleminertial methodMann-type methodsubgradient extragradient algorithmTseng's extragradient algorithm

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical optimization and variational techniques (65K10) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical methods for variational inequalities and related problems (65K15)

Related Items (17)

Self-adaptive inertial single projection methods for variational inequalities involving non-Lipschitz and Lipschitz operators with their applications to optimal control problems ⋮ Viscosity-type inertial extragradient algorithms for solving variational inequality problems and fixed point problems ⋮ Revisiting subgradient extragradient methods for solving variational inequalities ⋮ Strong convergence of self-adaptive inertial algorithms for solving split variational inclusion problems with applications ⋮ Viscosity-type extragradient algorithm for finding common solution of pseudomonotone equilibrium problem and fixed point problem in Hilbert space ⋮ Inertial-based extragradient algorithm for approximating a common solution of split-equilibrium problems and fixed-point problems of nonexpansive semigroups ⋮ Strongly convergent inertial extragradient type methods for equilibrium problems ⋮ Strong convergence of inertial extragradient algorithms for solving variational inequalities and fixed point problems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An explicit extragradient algorithm for equilibrium problems on Hadamard manifolds ⋮ An accelerated extragradient algorithm for bilevel pseudomonotone variational inequality problems with application to optimal control problems ⋮ Inertial extragradient algorithms with non-monotonic step sizes for solving variational inequalities and fixed point problems ⋮ On modified subgradient extragradient methods for pseudomonotone variational inequality problems with applications ⋮ SELF ADAPTIVE VISCOSITY-TYPE INERTIAL EXTRAGRADIENT ALGORITHMS FOR SOLVING VARIATIONAL INEQUALITIES WITH APPLICATIONS ⋮ Unnamed Item ⋮ Strong convergence of inertial projection and contraction methods for pseudomonotone variational inequalities with applications to optimal control problems

Uses Software

• FOM

Cites Work

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