Convergence theorems for a countable family of Lipschitzian mappings
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Publication:833156
DOI10.1016/j.amc.2009.04.020zbMath1223.47089OpenAlexW2016292589MaRDI QIDQ833156
Weerayuth Nilsrakoo, Satit Saejung
Publication date: 12 August 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.020
strong convergenceweak convergencenonexpansive mappingasymptotically nonexpansive mappinguniformly convex Banach spaceLipschitzian mapping
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Mann-Dotson's algorithm for a countable family of non-self Lipschitz mappings in hyperbolic metric space, Mann-Dotson's algorithm for a countable family of non-self strict pseudo-contractive mappings
Cites Work
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- Iterative construction of fixed points of asymptotically nonexpansive mappings
- A new three-step fixed point iteration scheme for asymptotically nonexpansive mappings
- Weak and strong convergence theorems for finite families of asymptotically nonexpansive mappings in Banach spaces
- Weak and strong convergence theorems for countable Lipschitzian mappings and its applications
- A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
- Geometry of Banach spaces. Selected topics
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Weak convergence theorems for asymptotically nonexpansive mappings and semigroups
- Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces
- On the approximation problem of fixed points for asymptotically nonexpansive mappings
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- A reconsideration on convergence of three-step iterations for asymptotically nonexpansive mappings
- Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- WEAK AND STRONG CONVERGENCE OF MANN'S-TYPE ITERATIONS FOR A COUNTABLE FAMILY OF NONEXPANSIVE MAPPINGS
- Inequalities in Banach spaces with applications
- Approximating Fixed Points of Nonexpansive Mappings
- Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
- A Fixed Point Theorem for Mappings which do not Increase Distances
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
- Mean Value Methods in Iteration
