Some new extragradient-like methods for generalized equilibrium problems, fixed point problems and variational inequality problems
From MaRDI portal
Publication:3161136
DOI10.1080/10556780902763295zbMath1228.90128OpenAlexW2117337850MaRDI QIDQ3161136
Publication date: 12 October 2010
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10556780902763295
strong convergenceweak convergencefixed pointvariational inequalitynonexpansive mappinggeneralized equilibrium problemmonotone mappingextragradient-like method
Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Programming in abstract spaces (90C48)
Related Items
Local uniqueness of solutions to Ky Fan vector inequalities using approximations as derivatives ⋮ Hybrid proximal-type algorithms for generalized equilibrium problems, maximal monotone operators, and relatively nonexpansive mappings ⋮ Strong convergence of a new multi-step algorithm for strict pseudo-contractive mappings and Ky Fan inequality ⋮ Two algorithms for solving mixed equilibrium problems and fixed point problems in Hilbert spaces ⋮ Iterative schemes for generalized equilibrium problem and two maximal monotone operators ⋮ Strong and weak convergence theorems for common solutions of generalized equilibrium problems and zeros of maximal monotone operators ⋮ A new iterative method for equilibrium problems and fixed point problems ⋮ An iterative method for equilibrium, variational inequality, and fixed point problems for a nonexpansive semigroup in Hilbert spaces ⋮ Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings ⋮ A fixed point scheme for nonexpansive mappings, variational inequalities and equilibrium problems
Cites Work
- An approximate proximal-extragradient type method for monotone variational inequalities
- Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
- On modified iterative method for nonexpansive mappings and monotone mappings
- Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
- Equilibrium programming using proximal-like algorithms
- Convergence rate analysis of iteractive algorithms for solving variational inequality problems
- Approximating fixed points of infinite nonexpansive mappings by the hybrid method
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- A new iterative method for equilibrium problems and fixed point problems of nonexpansive mappings and monotone mappings
- Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
- Construction of fixed points of nonlinear mappings in Hilbert space
- An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions
- Proximal Methods with Penalization Effects in Banach Spaces
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- Construction of best Bregman approximations in reflexive Banach spaces
- Strong Convergence of Block-Iterative Outer Approximation Methods for Convex Optimization
- An Outer Approximation Method for the Variational Inequality Problem
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces
- Convergence theorems for nonexpansive mappings and feasibility problems
