Strong convergence of Bregman projection method for solving variational inequality problems in reflexive Banach spaces
From MaRDI portal
Publication:2700019
DOI10.1007/s11075-022-01414-8OpenAlexW4301396892MaRDI QIDQ2700019
Zhongbing Xie, Gang Cai, Qiao-Li Dong
Publication date: 20 April 2023
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-022-01414-8
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) Numerical analysis (65-XX)
Related Items
An improved subgradient extragradient method with two different parameters for solving variational inequalities in reflexive Banach spaces, Convergence analysis of a new Bregman extragradient method for solving fixed point problems and variational inequality problems in reflexive Banach spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weak and strong convergence theorems for variational inequality and fixed point problems with Tseng's extragradient method
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Convex functions, monotone operators and differentiability.
- Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
- An iterative row-action method for interval convex programming
- Totally convex functions for fixed points computation and infinite dimensional optimization
- Modified Tseng's extragradient algorithms for variational inequality problems
- A new double-projection method for solving variational inequalities in Banach spaces
- Existence results for Stampacchia and Minty type implicit variational inequalities with multivalued maps
- Bregman strongly nonexpansive operators in reflexive Banach spaces
- Explicit extragradient-like method with adaptive stepsizes for pseudomonotone variational inequalities
- Single projection algorithm for variational inequalities in Banach spaces with application to contact problem
- New strong convergence theorem of the inertial projection and contraction method for variational inequality problems
- On inexact relative-error hybrid proximal extragradient, forward-backward and Tseng's modified forward-backward methods with inertial effects
- Bregman weak relatively nonexpansive mappings in Banach spaces
- Two simple projection-type methods for solving variational inequalities
- Strong convergence of extragradient methods for solving bilevel pseudo-monotone variational inequality problems
- Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems
- Convergence of an extragradient-type method for variational inequality with applications to optimal control problems
- Forcing strong convergence of Korpelevich's method in Banach spaces with its applications in game theory
- Iterative Algorithms for Nonlinear Operators
- Single projection method for pseudo-monotone variational inequality in Hilbert spaces
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Inertial normal S-type Tseng’s extragradient algorithm for solution of variational inequality problems
- Modified extragradient algorithms for solving monotone variational inequalities and fixed point problems
- An extragradient-type algorithm for variational inequality on Hadamard manifolds
- Relaxed extragradient algorithm for solving pseudomonotone variational inequalities in Hilbert spaces
- A Method with Convergence Rates for Optimization Problems with Variational Inequality Constraints
- Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds
- Quasi-Variational Inequality Problems over Product Sets with Quasi-monotone Operators
- Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities
