Strong convergence theorems of modified Ishikawa iterations for countable hemi-relatively nonexpansive mappings in a Banach space
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Publication:1035109
DOI10.1155/2009/483497zbMath1186.47073OpenAlexW2058737656WikidataQ59220075 ScholiaQ59220075MaRDI QIDQ1035109
Kriengsak Wattanawitoon, Poom Kumam, Narin Petrot
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/45688
strong convergenceuniformly convex Banach spacerelatively nonexpansive mappingshemi-relatively nonexpansive mappingshybrid projection methodsmodified Halpern iterative processes
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Strong convergence of monotone hybrid algorithm for hemi-relatively nonexpansive mappings
- Convergence theorems of fixed points for a finite family of nonexpansive mappings in Banach spaces
- 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
- Weak and strong convergence theorems of an implicit iteration process for a countable family of nonexpansive mappings
- Strong convergence theorems for relatively nonexpansive mappings in a Banach space
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
- Block iterative methods for a finite family of relatively nonexpansive mappings in Banach spaces
- Strong convergence of modified implicit iteration processes for common fixed points of nonexpansive mappings
- Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- On Projection Algorithms for Solving Convex Feasibility Problems
- Fixed Points by a New Iteration Method
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
- Fixed points of nonexpanding maps
- Mean Value Methods in Iteration
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