Strong convergence theorems for uniformly \(L\)-Lipschitzian asymptotically pseudocontractive mappings in Banach spaces
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Publication:395764
DOI10.1186/1029-242X-2013-79zbMath1279.47089WikidataQ59301866 ScholiaQ59301866MaRDI QIDQ395764
Publication date: 30 January 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
strong convergencefixed pointreal Banach spaceasymptotically pseudocontractive mappingmodified Ishikawa iteration with errorsmodified Mann iteration with errorsuniformly \(L\)-Lipschitzian mapping
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- Iterative construction of fixed points of asymptotically nonexpansive mappings
- Convergence of a modified Halpern-type iteration algorithm for quasi-\(\phi\)-nonexpansive mappings
- On the strong convergence of the implicit iterative processes with errors for a finite family of asymptotically nonexpansive mappings
- Some results for uniformly \(L\)-Lipschitzian mappings in Banach spaces
- Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
- Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in real Banach space
- STRONG CONVERGENCE OF AN IMPLICIT ITERATIVE PROCESS FOR AN INFINITE FAMILY OF STRICT PSEUDOCONTRACTIONS
- A STRONG CONVERGENCE OF A MODIFIED KRASNOSELSKII‐MANN METHOD FOR NON‐EXPANSIVE MAPPINGS IN HILBERT SPACES
- Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings
- APPROXIMATION OF NEAREST COMMON FIXED POINTS OF ASYMPTOTICALLY I-NONEXPANSIVE MAPPINGS IN BANACH SPACES
- Iterative solution of nonlinear equations involving set-valued uniformly accretive operators.
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