Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
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Publication:2492427
DOI10.1016/j.na.2005.05.059zbMath1090.47059OpenAlexW2002273462MaRDI QIDQ2492427
Publication date: 9 June 2006
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2005.05.059
strong convergenceasymptotically nonexpansive mappingmodified Mann iterationasymptotically nonexpansive semigroup
Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)
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Cites Work
- Unnamed Item
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- An example concerning fixed points
- Strong convergence of modified Mann iterations
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- The Nonlinear Ergodic Theorem for Asymptotically Nonexpansive Mappings in Banach Spaces
- Nonlinear ergodic theorems
- Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings
- Fixed point theorems for Lipschitzian semigroups in Banach spaces
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
- Strong asymptotic behavior of almost-orbits of nonlinear semigroups
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