Iterative algorithms for solving fixed point problems and variational inequalities with uniformly continuous monotone operators
type: Item
instance of: scholarly article
title: Iterative algorithms for solving fixed point problems and variational inequalities with uniformly continuous monotone operators
author: Y. Shehu
author: Olaniyi S. Iyiola
published in: Numerical Algorithms
publication date: 2018-10-01T00:00:00Z
Mathematics Subject Classification ID: 47H06
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 6945627
zbMATH Keywords: monotone mappings
zbMATH Keywords: double projection method
zbMATH Keywords: Halpern method
zbMATH Keywords: quasi-nonexpansive mapping
zbMATH Keywords: strong convergence
zbMATH Keywords: Hilbert spaces
MaRDI profile type: Publication
full work available at URL: s11075-017-0449-z
OpenAlex ID: W2769035556
cites work: Q4145166
cites work: Q3782303
cites work: Q3344749
cites work: Convex analysis and monotone operator theory in Hilbert spaces
cites work: A Strongly Convergent Direct Method for Monotone Variational Inequalities in Hilbert Spaces
cites work: Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems
cites work: Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
cites work: The subgradient extragradient method for solving variational inequalities in Hilbert space
cites work: Convergence of the modified extragradient method for variational inequalities with non-Lipschitz operators
cites work: Finite-Dimensional Variational Inequalities and Complementarity Problems
cites work: Q3914338
cites work: A new double projection algorithm for variational inequalities
cites work: An approximate proximal-extragradient type method for monotone variational inequalities
cites work: Korpelevich's method for variational inequality problems in Banach spaces
cites work: A variant of korpelevich’s method for variational inequalities with a new search strategy
cites work: INEXACT VERSIONS OF PROXIMAL POINT AND AUGMENTED LAGRANGIAN ALGORITHMS IN BANACH SPACES
cites work: Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces
cites work: Q3905599
cites work: Q4110807
cites work: Combined relaxation methods for variational inequalities
cites work: Low-cost modification of Korpelevich's methods for monotone equilibrium problems
cites work: Modification of the extra-gradient method for solving variational inequalities and certain optimization problems
cites work: Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
cites work: Convergence of one-step projected gradient methods for variational inequalities
cites work: Numerical approach to monotone variational inequalities by a one-step projected reflected gradient method with line-search procedure
cites work: A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
cites work: A hybrid method without extrapolation step for solving variational inequality problems
cites work: Viscosity approximation methods for fixed-points problems
cites work: Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
cites work: Strong Convergence Theorem by a Hybrid Method for Nonexpansive Mappings and Lipschitz-Continuous Monotone Mappings
cites work: Decomposition through formalization in a product space
cites work: Strong convergence result for monotone variational inequalities
cites work: A New Projection Method for Variational Inequality Problems
cites work: A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
cites work: Nonlinear functional analysis. Fixed point theory and its applications
DOI: 10.1007/S11075-017-0449-Z
description: scientific article; zbMATH DE number 6945627