Strong convergence theorems for fixed point problems, variational inequality problems and system of generalized mixed equilibrium problems
From MaRDI portal
Publication:652876
DOI10.1016/j.mcm.2011.04.023zbMath1228.65085OpenAlexW2051074832MaRDI QIDQ652876
Publication date: 18 December 2011
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2011.04.023
Banach spacesvariational inequality problemhybrid methodgeneralized mixed equilibrium problems\(\varphi \)-asymptotically nonexpansive mappings
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- A hybrid approximation method for equilibrium, variational inequality and fixed point problems
- A hybrid projection method for generalized mixed equilibrium problems and fixed point problems in Banach spaces
- Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems
- A general iterative method for equilibrium problems and strict pseudo-contractions in Hilbert spaces
- Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
- Strong convergence studied by a hybrid type method for monotone operators in a Banach space
- Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings
- Strong convergence to common fixed points of countable relatively quasi-nonexpansive mappings
- A new hybrid iterative algorithm for fixed-point problems, variational inequality problems, and mixed equilibrium problems
- Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
- An extragradient approximation method for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings
- An iterative method of solution for equilibrium and optimization problems
- Strong convergence theorems for a finite family of asymptotically nonexpansive mappings and semigroups
- Fixed point solutions of generalized equilibrium problems for nonexpansive mappings
- Weak convergence theorems for a system of mixed equilibrium problems and nonspreading mappings in a Hilbert space
- Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
- Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings
- Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a Banach space
- Generalized mixed equilibrium problem in Banach spaces
- Viscosity approximation methods for generalized equilibrium problems and fixed point problems with applications
- On a hybrid method for generalized mixed equilibrium problem and fixed point problem of a family of quasi-\(\varphi \)-asymptotically nonexpansive mappings in Banach spaces
- Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems
- A new iterative method for equilibrium problems and fixed point problems of nonexpansive mappings and monotone mappings
- A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
- Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
- Geometric properties of Banach spaces and nonlinear iterations
- A hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems in Banach spaces
- On the projection methods for fixed point problems
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
- Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
