Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings.
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Publication:1413185
DOI10.1016/S0022-247X(03)00537-7zbMath1095.47046MaRDI QIDQ1413185
Publication date: 16 November 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
strong convergenceuniformly convex Banach spacecommon fixed pointasymptotically quasi-nonexpansive mappingimplicit iterative process
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
- Unnamed Item
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Approximation of fixed points of nonexpansive mappings
- Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
- AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
- Inequalities in Banach spaces with applications
- Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- On the structure of the set of subsequential limit points of successive approximations
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
- Iterative sequences for asymptotically quasi-nonexpansive mappings.
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