Strong and weak convergence theorems for common solutions of generalized equilibrium problems and zeros of maximal monotone operators
From MaRDI portal
Publication:963601
DOI10.1155/2010/590278zbMath1207.47077OpenAlexW1998991597WikidataQ59251143 ScholiaQ59251143MaRDI QIDQ963601
Publication date: 13 April 2010
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/227900
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)
Related Items
Modified Halpern-type iterative methods for relatively nonexpansive mappings and maximal monotone operators in Banach spaces ⋮ Iterative algorithms for common elements in fixed point sets and zero point sets with applications ⋮ Composite algorithms for minimization over the solutions of equilibrium problems and fixed point problems ⋮ Strong convergence theorem for total quasi-\(\phi\)-asymptotically nonexpansive mappings in a Banach space ⋮ Iterative algorithms for monotone inclusion problems, fixed point problems and minimization problems ⋮ Hierarchical convergence of a double-net algorithm for equilibrium problems and variational inequality problems ⋮ An implicit extragradient method for hierarchical variational inequalities ⋮ A new hybrid method for equilibrium problems, variational inequality problems, fixed point problems, and zero of maximal monotone operators ⋮ Strong convergence for mixed equilibrium problems of infinitely nonexpansive mappings ⋮ A general composite algorithm for solving general equilibrium problems and fixed point problems in Hilbert spaces ⋮ Some iterative methods for finding fixed points and for solving constrained convex minimization problems ⋮ Strong convergence of a general iterative method for a countable family of nonexpansive mappings in Banach spaces ⋮ Regularized gradient-projection methods for the constrained convex minimization problem and the zero points of maximal monotone operator
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems
- Strong convergence theorem by an extragradient method for fixed point problems and variational inequality problems
- Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
- Strong weak convergence theorems of implicit hybrid steepest-descent methods for variational inequalities
- Modified proximal-point algorithm for maximal monotone operators in Banach spaces
- Hybrid proximal-point methods for common solutions of equilibrium problems and zeros of maximal monotone operators
- Some new iterative algorithms for generalized mixed equilibrium problems with strict pseudo-contractions and monotone mappings
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Weak and strong convergence theorems for maximal monotone operators in a Banach space
- Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
- Viscosity approximation methods for generalized equilibrium problems and fixed point problems
- Generalized KKM theorem with applications to generalized minimax inequalities and generalized equilibrium problems
- Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
- An inexact proximal-type algorithm in Banach spaces
- A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
- Hybrid viscosity approximation schemes for equilibrium problems and fixed point problems of infinitely many nonexpansive mappings
- A proximal method for pseudomonotone type variational-like inequalities
- Auxiliary problem method for mixed variational-like inequalities
- Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
- A new hybrid-extragradient method for generalized mixed equilibrium problems, fixed point problems and variational inequality problems
- On the projection methods for fixed point problems
- Some new extragradient-like methods for generalized equilibrium problems, fixed point problems and variational inequality problems
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Inequalities in Banach spaces with applications
- Monotone Operators and the Proximal Point Algorithm
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- On the Maximality of Sums of Nonlinear Monotone Operators
