Convergence analysis of a new Bregman extragradient method for solving fixed point problems and variational inequality problems in reflexive Banach spaces
DOI10.1007/s10915-023-02243-0OpenAlexW4378533217MaRDI QIDQ6111342
No author found.
Publication date: 6 July 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-023-02243-0
strong convergencefixed pointvariational inequalitypseudomonotone operatorreflexive Banach spacesmodified extragradient method
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Korpelevich's method for variational inequality problems in Banach spaces
- 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
- A new double-projection method for solving variational inequalities in Banach spaces
- Bregman strongly nonexpansive operators in reflexive Banach spaces
- Analysis of versions of relaxed inertial projection and contraction method
- An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems
- Bregman subgradient extragradient method with monotone self-adjustment stepsize for solving pseudo-monotone variational inequalities and fixed point problems
- Single projection algorithm for variational inequalities in Banach spaces with application to contact problem
- A new low-cost double projection method for solving variational inequalities
- Inertial-type algorithm for solving split common fixed point problems in Banach spaces
- Projection algorithms for solving the split feasibility problem with multiple output sets
- Bregman weak relatively nonexpansive mappings in Banach spaces
- Two simple projection-type methods for solving variational inequalities
- New self-adaptive step size algorithms for solving split variational inclusion problems and its applications
- Strong convergence of extragradient methods for solving bilevel pseudo-monotone variational inequality problems
- Inertial projection-type methods for solving quasi-variational inequalities in real Hilbert spaces
- A telescopic Bregmanian proximal gradient method without the global Lipschitz continuity assumption
- Strong convergence of Bregman projection method for solving variational inequality problems in reflexive Banach spaces
- Iterative Algorithms for Nonlinear Operators
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- Re-examination of Bregman functions and new properties of their divergences
- The subgradient extragradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces
- Two Bregman projection methods for solving variational inequalities
- Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities
- Projected Reflected Gradient Methods for Monotone Variational Inequalities
- Single Bregman projection method for solving variational inequalities in reflexive Banach spaces
- A new Bregman projection method with a self-adaptive process for solving variational inequality problem in reflexive Banach spaces
This page was built for publication: Convergence analysis of a new Bregman extragradient method for solving fixed point problems and variational inequality problems in reflexive Banach spaces
