Approximating common fixed points for a finite family of non-lipschitzian mappings in banach spaces
In this paper, we introduce multi-step iterative scheme with errors for a finite family of asymptotically nonexpansive mappings in the intermediate sense. Mann-type, Ishikawa-type and Noor-type iterations are covered by the new iterative scheme. Weak and strong convergence theorems for the iterative...
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th-cmuir.6653943832-492302018-08-16T02:12:49Z Approximating common fixed points for a finite family of non-lipschitzian mappings in banach spaces S. Imnang S. Suantai Mathematics In this paper, we introduce multi-step iterative scheme with errors for a finite family of asymptotically nonexpansive mappings in the intermediate sense. Mann-type, Ishikawa-type and Noor-type iterations are covered by the new iterative scheme. Weak and strong convergence theorems for the iterative scheme in a uniformly convex Banach space are established under some conditions which are weaker than demicompactness or completely continuous. Our results improve and generalize the recent known results in the literature. 2018-08-16T02:12:49Z 2018-08-16T02:12:49Z 2009-12-01 Journal 13128876 2-s2.0-84884543777 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84884543777&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49230 |
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Mathematics |
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Mathematics S. Imnang S. Suantai Approximating common fixed points for a finite family of non-lipschitzian mappings in banach spaces |
| description |
In this paper, we introduce multi-step iterative scheme with errors for a finite family of asymptotically nonexpansive mappings in the intermediate sense. Mann-type, Ishikawa-type and Noor-type iterations are covered by the new iterative scheme. Weak and strong convergence theorems for the iterative scheme in a uniformly convex Banach space are established under some conditions which are weaker than demicompactness or completely continuous. Our results improve and generalize the recent known results in the literature. |
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Journal |
| author |
S. Imnang S. Suantai |
| author_facet |
S. Imnang S. Suantai |
| author_sort |
S. Imnang |
| title |
Approximating common fixed points for a finite family of non-lipschitzian mappings in banach spaces |
| title_short |
Approximating common fixed points for a finite family of non-lipschitzian mappings in banach spaces |
| title_full |
Approximating common fixed points for a finite family of non-lipschitzian mappings in banach spaces |
| title_fullStr |
Approximating common fixed points for a finite family of non-lipschitzian mappings in banach spaces |
| title_full_unstemmed |
Approximating common fixed points for a finite family of non-lipschitzian mappings in banach spaces |
| title_sort |
approximating common fixed points for a finite family of non-lipschitzian mappings in banach spaces |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84884543777&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49230 |
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