Improved inertial extragradient methods for solving pseudo-monotone variational inequalities

DOI10.1080/02331934.2020.1808644zbMath1492.65180OpenAlexW3080515648MaRDI QIDQ5070612

Duong Viet Thong, Pham Ky Anh, Nguyen The Vinh

Publication date: 13 April 2022

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2020.1808644

zbMATH Keywords

strong convergencevariational inequality problempseudo-monotone mappingMann-type methodinertial Tseng's extragradient method

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Parallel algorithms in computer science (68W10) Parallel numerical computation (65Y05) Numerical methods for variational inequalities and related problems (65K15)

Related Items (16)

A new self-adaptive algorithm for solving pseudomonotone variational inequality problems in Hilbert spaces ⋮ New Bregman projection methods for solving pseudo-monotone variational inequality problem ⋮ Two New Inertial Algorithms for Solving Variational Inequalities in Reflexive Banach Spaces ⋮ A projection and contraction method with adaptive step sizes for solving bilevel pseudo-monotone variational inequality problems ⋮ Analysis of two versions of relaxed inertial algorithms with Bregman divergences for solving variational inequalities ⋮ Weak and strong convergence results for solving monotone variational inequalities in reflexive Banach spaces ⋮ A new inertial relaxed Tseng extrgradient method for solving quasi-monotone bilevel variational inequality problems in Hilbert spaces ⋮ Self adaptive iterative algorithm for solving variational inequality problems and fixed point problems in Hilbert spaces ⋮ A single projection algorithm with double inertial extrapolation steps for solving pseudomonotone variational inequalities in Hilbert space ⋮ A novel method for finding minimum-norm solutions to pseudomonotone variational inequalities ⋮ Image restorations using a modified relaxed inertial technique for generalized split feasibility problems ⋮ Relaxed single projection methods for solving bilevel variational inequality problems in Hilbert spaces ⋮ A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities ⋮ Explicit extragradient-like method with adaptive stepsizes for pseudomonotone variational inequalities ⋮ A relaxed inertial factor of the modified subgradient extragradient method for solving pseudo monotone variational inequalities in Hilbert spaces ⋮ Three novel inertial explicit Tseng's extragradient methods for solving pseudomonotone variational inequalities

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