A modified generalized version of projected reflected gradient method in Hilbert spaces

DOI10.1007/s11075-023-01566-1OpenAlexW4382242709MaRDI QIDQ6145564

No author found.

Publication date: 9 January 2024

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

Full work available at URL: https://doi.org/10.1007/s11075-023-01566-1

zbMATH Keywords

variational inequalityHilbert spacesweak and linear convergenceprojected reflected gradient method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
• Numerical approach to monotone variational inequalities by a one-step projected reflected gradient method with line-search procedure
• The subgradient extragradient method for solving variational inequalities in Hilbert space
• Convergence of one-step projected gradient methods for variational inequalities
• An inertial Popov's method for solving pseudomonotone variational inequalities
• Strong convergence theorem by an extragradient method for fixed point problems and variational inequality problems
• A modification of the Arrow-Hurwicz method for search of saddle points
• Combined relaxation methods for variational inequalities
• Convergence analysis of processes with valiant projection operators in Hilbert space
• A modified projected gradient method for monotone variational inequalities
• Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems
• Subgradient extragradient method with double inertial steps for variational inequalities
• Composite inertial subgradient extragradient methods for variational inequalities and fixed point problems
• Inertial Tseng's extragradient method for solving variational inequality problems of pseudo-monotone and non-Lipschitz operators
• Strong convergence of inertial projection and contraction methods for pseudomonotone variational inequalities with applications to optimal control problems
• A modified inertial subgradient extragradient method for solving variational inequalities
• Revisiting subgradient extragradient methods for solving variational inequalities
• Projection methods with alternating inertial steps for variational inequalities: weak and linear convergence
• Golden ratio algorithms for variational inequalities
• An explicit algorithm for solving monotone variational inequalities
• A general inertial projected gradient method for variational inequality problems
• An extragradient algorithm for monotone variational inequalities
• Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems
• Inertial version of generalized projected reflected gradient method
• Outer approximation methods for solving variational inequalities in Hilbert space
• Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Projected Reflected Gradient Methods for Monotone Variational Inequalities
• Weak convergence for variational inequalities with inertial-type method

This page was built for publication: A modified generalized version of projected reflected gradient method in Hilbert spaces