Hybrid extragradient iterative algorithms for variational inequalities, variational inclusions, and fixed-point problems
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Publication:1952987
DOI10.1155/2012/924309zbMath1264.65098OpenAlexW2130395195WikidataQ58906942 ScholiaQ58906942MaRDI QIDQ1952987
Publication date: 3 June 2013
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/924309
Cites Work
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- Finding common solutions of a variational inequality, a general system of variational inequalities, and a fixed-point problem via a hybrid extragradient method
- An approximate proximal-extragradient type method for monotone variational inequalities
- Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method
- Characterization of \(H\)-monotone operators with applications to variational inclusions
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- Regularization of nonlinear ill-posed variational inequalities and convergence rates
- Convergence rate analysis of iteractive algorithms for solving variational inequality problems
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Weak and strong convergence theorems for fixed points of pseudocontractions and solutions of monotone type operator equations
- Solution methods for variational inequalities with coupled constraints
- A new completely general class of variational inclusions with noncompact valued mappings
- New extragradient-type methods for general variational inequalities.
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Forcing strong convergence of proximal point iterations in a Hilbert space
- 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
- Construction of best Bregman approximations in reflexive Banach spaces
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- Strong Convergence of Block-Iterative Outer Approximation Methods for Convex Optimization
- An Outer Approximation Method for the Variational Inequality Problem
- Strong Convergence Theorem by a Hybrid Method for Nonexpansive Mappings and Lipschitz-Continuous Monotone Mappings
- On the Maximality of Sums of Nonlinear Monotone Operators
- A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces