Two algorithms for solving single-valued variational inequalities and fixed point problems
From MaRDI portal
Publication:266349
DOI10.1007/s11784-015-0258-8zbMath1334.47062OpenAlexW1954129958MaRDI QIDQ266349
Shaokang Yang, Ying Wang, Changjie Fang
Publication date: 13 April 2016
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-015-0258-8
monotoneprojection algorithmvariational inequality problem\(\theta\)-strict pseudocontractionfixed point problem
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces ⋮ A proximal iterative algorithm for system of generalized nonlinear variational-like inequalities and fixed point problems ⋮ Weak convergence of a modified subgradient extragradient algorithm for monotone variational inequalities in Banach spaces ⋮ Strong convergence theorems for relatively nonexpansive mappings and Lipschitz-continuous monotone mappings in Banach spaces ⋮ The new extragradient method extended to equilibrium problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An extension of subgradient method for variational inequality problems in Hilbert space
- Weak and strong convergence theorems for variational inequality and fixed point problems with Tseng's extragradient method
- A subgradient extragradient algorithm for solving multi-valued variational inequality
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- A double projection algorithm for multi-valued variational inequalities and a unified framework of the method
- Modified extragradient method for variational inequalities and verification of solution existence
- A projection-proximal point algorithm for solving generalized variational inequalities
- Modified extragradient methods for strict pseudo-contractions and monotone mappings
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- On modified iterative method for nonexpansive mappings and monotone mappings
- Strong convergence theorems for solving equilibrium problems and fixed point problems of \(\xi \)-strict pseudo-contraction mappings by two hybrid projection methods
- Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems
- Convergence of direct methods for paramonotone variational inequalities
- Projected subgradient techniques and viscosity methods for optimization with variational inequality constraints
- An extragradient iterative scheme by viscosity approximation methods for fixed point problems and variational inequality problems
- Complementarity problems over cones with monotone and pseudomonotone maps
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- The primal Douglas-Rachford splitting algorithm for a class of monotone mappings with application to the traffic equilibrium problem
- Extragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems
- A projection-type method for multivalued variational inequality
- An extragradient-like approximation method for variational inequality problems and fixed point problems
- Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
- A self-adaptive method for solving general mixed variational inequalities
- A new double projection algorithm for variational inequalities
- Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
- Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
- Iterative Methods for Solving Systems of Variational Inequalities in Reflexive Banach Spaces
- A subgradient-type method for the equilibrium problem over the fixed point set and its applications
- A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
- A Use of Conjugate Gradient Direction for the Convex Optimization Problem over the Fixed Point Set of a Nonexpansive Mapping
- A New Projection Method for Variational Inequality Problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- An Algorithm for Solving the Variational Inequality Problem Over the Fixed Point Set of a Quasi-Nonexpansive Operator in Euclidean Space
- Strong Convergence Theorem by a Hybrid Method for Nonexpansive Mappings and Lipschitz-Continuous Monotone Mappings
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- On the Maximality of Sums of Nonlinear Monotone Operators
This page was built for publication: Two algorithms for solving single-valued variational inequalities and fixed point problems
