Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings
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Publication:1035095
DOI10.1155/2009/261932zbMath1186.47067OpenAlexW2117201576WikidataQ59220074 ScholiaQ59220074MaRDI QIDQ1035095
Suthep Suantai, Chakkrid Klin-eam
Publication date: 10 November 2009
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/45676
maximal monotone operatorresolventsstrong convergence theoremshemirelatively nonexpansive mappingmonotone hybrid iteration method
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
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- 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
- Strong weak convergence theorems of implicit hybrid steepest-descent methods for variational inequalities
- Strong convergence of monotone hybrid algorithm for hemi-relatively nonexpansive mappings
- Some new iterative algorithms for generalized mixed equilibrium problems with strict pseudo-contractions and monotone mappings
- 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
- Approximating solutions of maximal monotone operators in Hilbert spaces
- Forcing strong convergence of proximal point iterations in a Hilbert 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
- A proximal method for pseudomonotone type variational-like inequalities
- Auxiliary problem method for mixed variational-like inequalities
- A new hybrid-extragradient method for generalized mixed equilibrium problems, fixed point problems and variational inequality problems
- Some new extragradient-like methods for generalized equilibrium problems, fixed point problems and variational inequality problems
- Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
- Monotone Operators and the Proximal Point Algorithm
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- 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