Inertial projection-type methods for solving pseudomonotone variational inequality problems in Hilbert space

DOI10.1007/s11075-020-01058-6zbMath1486.65069OpenAlexW3122971367MaRDI QIDQ820727

Luong Van Long, Simeon Reich, Prasit Cholamjiak, Duong Viet Thong

Publication date: 27 September 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-01058-6

zbMATH Keywords

weak convergencevariational inequalitypseudomonotone mappinginertial methodnon-Lipschitz continuityTseng's extragradient method

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)

Related Items (19)

Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems ⋮ Strong convergence results for quasimonotone variational inequalities ⋮ Inertial projection methods for finding a minimum-norm solution of pseudomonotone variational inequality and fixed-point problems ⋮ A strong convergence algorithm for solving pseudomonotone variational inequalities with a single projection ⋮ Unnamed Item ⋮ 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 ⋮ Novel inertial methods for fixed point problems in reflexive Banach spaces with applications ⋮ A new Halpern-type Bregman projection method for solving variational inequality problems in reflexive Banach space ⋮ Weak and strong convergence of a modified double inertial projection algorithm for solving variational inequality problems ⋮ A novel method for finding minimum-norm solutions to pseudomonotone variational inequalities ⋮ A new modified extragradient method with line-search process for solving pseudomonotone variational inequality in Hilbert spaces ⋮ A new projection-type method with nondecreasing adaptive step-sizes for pseudo-monotone variational inequalities ⋮ Novel projection methods for solving variational inequality problems and applications ⋮ Modified subgradient extragradient algorithms with a new line-search rule for variational inequalities ⋮ Adaptive inertial subgradient extragradient methods for finding minimum-norm solutions of pseudomonotone variational inequalities ⋮ Relaxed double inertial Tseng's extragradient method for solving non-Lipschitz split monotone variational inclusion problems with fixed point constraints ⋮ Strong and linear convergence of projection-type method with an inertial term for finding minimum-norm solutions of pseudomonotone variational inequalities in Hilbert spaces ⋮ A relaxed inertial factor of the modified subgradient extragradient method for solving pseudo monotone variational inequalities in Hilbert spaces

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