Strong convergence of a general iterative method for variational inequality problems and fixed point problems in Hilbert spaces
From MaRDI portal
Publication:929439
DOI10.1016/j.amc.2007.11.004zbMath1147.65048OpenAlexW2001775002MaRDI QIDQ929439
Xiaolong Qin, Meijuan Shang, Hai-Yun Zhou
Publication date: 17 June 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.11.004
Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods of relaxation type (49M20)
Related Items
A new iterative scheme for fixed point problems of infinite family of \(\kappa _{i }\)-pseudo contractive mappings, equilibrium problem, variational inequality problems, Iterative algorithms for finding a common solution of system of the set of variational inclusion problems and the set of fixed point problems, Iterative algorithms for variational inequality and equilibrium problems with applications, On variational inclusion and common fixed point problems in Hilbert spaces with applications, Existence theorems for quasivariational inequality problem on proximally smooth sets, A new iterative method for finding common solutions of a system of equilibrium problems, fixed-point problems, and variational inequalities, Construction of Iterative Methods for Variational Inequality and Fixed Point Problems, Approximation of solutions to a system of variational inclusions in Banach spaces, A new modified hybrid steepest-descent by using a viscosity approximation method with a weakly contractive mapping for a system of equilibrium problems and fixed point problems with minimization problems, Hybrid methods for common solutions in Hilbert spaces with applications, A regularization projection algorithm for various problems with nonlinear mappings in Hilbert spaces, Iterative methods for generalized equilibrium problems and fixed point problems with applications, Convergence of an iterative algorithm for systems of variational inequalities and nonexpansive mappings with applications, Convergence theorems based on hybrid methods for generalized equilibrium problems and fixed point problems, Strong convergence of an iterative method for equilibrium problems and variational inequality problems, Iterative algorithms for inverse-strongly accretive mappings with applications, Existence and convergence theorem for fixed point problem of various nonlinear mappings and variational inequality problems without some assumptions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized system for relaxed cocoercive variational inequalities and projection methods
- General convergence analysis for two-step projection methods and applications to variational problems
- 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
- Viscosity approximation methods for nonexpansive mappings and monotone mappings
- On the convergence of Han's method for convex programming with quadratic objective
- An iterative approach to quadratic optimization
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
- The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
- A general iterative method for nonexpansive mappings in Hilbert spaces
- Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
- Iterative Algorithms for Nonlinear Operators
- The rate of convergence of dykstra's cyclic projections algorithm: The polyhedral case
- Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
- On Projection Algorithms for Solving Convex Feasibility Problems
- On the Maximality of Sums of Nonlinear Monotone Operators