Strong convergence of a new iterative algorithm for fixed points of asymptotically nonexpansive mappings
From MaRDI portal
Publication:5225393
DOI10.22436/jnsa.011.04.09zbMath1438.47140OpenAlexW2791613212WikidataQ130102916 ScholiaQ130102916MaRDI QIDQ5225393
Publication date: 22 July 2019
Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.22436/jnsa.011.04.09
strong convergenceHilbert spaceasymptotically nonexpansiveiterative implicit algorithm\(\mu\)-inverse strongly monotone mapping
Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)
Cites Work
- Unnamed Item
- Modified semi-implicit midpoint rule for nonexpansive mappings
- Strong convergence for asymptotical pseudocontractions with the demiclosedness principle in Banach spaces
- Forward-backward splitting methods for accretive operators in Banach spaces
- Some new algorithms for solving mixed equilibrium problems
- Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method
- Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems
- Viscosity approximation methods for nonexpansive mapping sequences in Banach spaces
- Viscosity approximation methods based on generalized contraction mappings for a countable family of strict pseudo-contractions, a general system of variational inequalities and a generalized mixed equilibrium problem in Banach spaces
- Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
- A viscosity approximation scheme for system of equilibrium problems, nonexpansive mappings and monotone mappings
- Viscosity approximation methods for generalized equilibrium problems and fixed point problems with applications
- Equilibrium programming using proximal-like algorithms
- An iterative approach to quadratic optimization
- Strong convergence of modified Mann iterations
- Convergence analysis of modified viscosity implicit rules of asymptotically nonexpansive mappings in Hilbert spaces
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Viscosity approximation methods for nonexpansive mappings
- Viscosity approximation methods for fixed-points problems
- The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces
- Strong convergence of an iterative algorithm for pseudocontractive mapping in Banach spaces
- Viscosity approximation methods for asymptotically nonexpansive mappings
- Iterative Algorithms for Nonlinear Operators
- Strong convergence theorems for a nonexpansive mapping and its applications for solving the split feasibility problem