Iterative methods for pseudomonotone variational inequalities and fixed-point problems
From MaRDI portal
Publication:1934630
DOI10.1007/s10957-012-0055-0zbMath1267.90158OpenAlexW2154156163MaRDI QIDQ1934630
Yonghong Yao, Mihai Postolache
Publication date: 29 January 2013
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-012-0055-0
Related Items
Inertial projection-type methods for solving pseudomonotone variational inequality problems in Hilbert space, Versions of the subgradient extragradient method for pseudomonotone variational inequalities, On Noor-type iteration schemes for multivalued mappings in \(\mathrm{CAT}(0)\) spaces, Strong convergence theorems for solving pseudo-monotone variational inequality problems and applications, A new self-adaptive algorithm for solving pseudomonotone variational inequality problems in Hilbert spaces, Some Extragradient Methods for Solving Variational Inequalities Using Bregman Projection and Fixed Point Techniques in Reflexive Banach Spaces, Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings, Multi-step implicit iterative methods with regularization for minimization problems and fixed point problems, Strong convergence of an inertial extragradient method with an adaptive nondecreasing step size for solving variational inequalities, A unified framework for solving generalized variational inequalities, Inertial projection methods for finding a minimum-norm solution of pseudomonotone variational inequality and fixed-point problems, A strong convergence algorithm for solving pseudomonotone variational inequalities with a single projection, On SP-iteration schemes for multi-valued mappings in CAT(0) spaces, Convergence of an extragradient-type method for variational inequality with applications to optimal control problems, Convergence theorems for a generalized \(\phi\)-pseudo-contractive type mapping in real normal linear spaces, Alternating Mann iterative algorithms for the split common fixed-point problem of quasi-nonexpansive mappings, A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods, On a modified extragradient method for variational inequality problem with application to industrial electricity production, Projection methods with alternating inertial steps for variational inequalities: weak and linear convergence, Strong convergence of modified inertial extragradient methods for non-Lipschitz continuous variational inequalities and fixed point problems, An improved relaxed inertial projection algorithm for solving the minimum-norm solution of variational inequality and fixed point problems, Weak and strong convergence of a modified double inertial projection algorithm for solving variational inequality problems, An inertial subgradient-extragradient algorithm for solving pseudomonotone variational inequalities, Strong Convergence of a Split Common Fixed Point Problem, Double inertial projection method for variational inequalities with quasi-monotonicity, Unnamed Item, Single projection method for pseudo-monotone variational inequality in Hilbert spaces, On solutions of variational inequality problems via iterative methods, Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces, Relaxed iterative algorithms for a system of generalized mixed equilibrium problems and a countable family of totally quasi-\(\phi\)-asymptotically nonexpansive multi-valued maps, with applications, Hybrid methods for solving simultaneously an equilibrium problem and countably many fixed point problems in a Hilbert space, Strong convergence of Halpern method for firmly type nonexpansive mappings, Analysis of versions of relaxed inertial projection and contraction method, Solvability and algorithms of generalized nonlinear variational-like inequalities in reflexive Banach spaces, Iterative methods for fixed points and zero points of nonlinear mappings with applications, A self-adaptive Tseng extragradient method for solving monotone variational inequality and fixed point problems in Banach spaces, Fast relaxed inertial Tseng's method-based algorithm for solving variational inequality and fixed point problems in Hilbert spaces, Iteration process for fixed point problems and zeros of maximal monotone operators, Three-step iterations for total asymptotically nonexpansive mappings in CAT(0) spaces, Composite steepest-descent method for the triple hierarchical variational inequalities, Iterations for systems of variational inequalities, fixed points of pseudocontractions and zeros of accretive operators, Convergence theorems for composite viscosity approaches to systems variational inequalities in Banach spaces, New projection methods with inertial steps for variational inequalities, Analysis of two variants of an inertial projection algorithm for finding the minimum-norm solutions of variational inequality and fixed point problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hybrid extragradient method for general equilibrium problems and fixed point problems in Hilbert space
- An approximate proximal-extragradient type method for monotone variational inequalities
- Weak convergence of an iterative method for pseudomonotone variational inequalities and fixed-point problems
- On viscosity iterative methods for variational inequalities
- Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces
- Strong convergence theorem by an extragradient method for fixed point problems and variational inequality problems
- On modified iterative method for nonexpansive mappings and monotone mappings
- Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings
- Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
- Viscosity approximation methods for a common fixed point of finite family of nonexpansive mappings
- Wiener-Hopf equation technique for variational inequalities and nonexpansive mappings
- On modified hybrid steepest-descent methods for general variational inequalities
- Iterative schemes for computing fixed points of nonexpansive mappings in Banach spaces
- An iterative method for an infinite family of nonexpansive mappings in Hilbert spaces
- A hybrid iterative scheme for equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces
- On a two-step algorithm for hierarchical fixed point problems and variational inequalities
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- Approximation of fixed points of nonexpansive mappings
- Some aspects of variational inequalities
- An iterative algorithm for the variational inequality problem
- Coercivity conditions for equilibrium problems
- Self-adaptive projection algorithms for general variational inequalities
- New existence results for equilibrium problems
- Some developments in general variational inequalities
- Viscosity approximation methods for nonexpansive mappings
- The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
- A general iterative method for nonexpansive mappings in Hilbert spaces
- Projection-proximal methods for general variational inequalities
- An additional projection step to He and Liao's method for solving variational inequalities
- An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings
- An extragradient-like approximation method for variational inequality problems and fixed point problems
- Iterative algorithm for approximating solutions of maximal monotone operators in Hilbert spaces
- Strong convergence of the CQ method for fixed point iteration processes
- Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
- Generalized monotone bifunctions and equilibrium problems
- Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
- Iterative Algorithms for Nonlinear Operators
- A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
- Convergence theorems for fixed point problems and variational inequality problems in Hilbert spaces
- Monotone Operators and the Proximal Point Algorithm
- Variational Inequalities with Generalized Monotone Operators
- Iterative Algorithms for Equilibrium Problems
- ON AN IMPLICIT HIERARCHICAL FIXED POINT APPROACH TO VARIATIONAL INEQUALITIES
- Inexact Proximal Point Methods for Equilibrium Problems in Banach Spaces
- Strong Convergence Theorem by a Hybrid Method for Nonexpansive Mappings and Lipschitz-Continuous Monotone Mappings
- Variational inequalities
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- Mean Value Methods in Iteration
- A note on equilibrium problems with properly quasimonotone bifunctions
- Strong convergence to common fixed points of infinite nonexpansive mappings and applications
