Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings
In this paper, we introduce a new iterative scheme for finding a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. We establish weak and strong convergence theorems. Our main results improve and extend the correspondin...
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th-cmuir.6653943832-62002014-08-30T03:23:57Z Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings Cholamjiak W. Suantai S. In this paper, we introduce a new iterative scheme for finding a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. We establish weak and strong convergence theorems. Our main results improve and extend the corresponding ones obtained in Schu (1991) [J. Schu, Iterative construction of fixed points of asymptotically nonexpansive mapping, J. Math. Anal. Appl. 159 (1991) 407413] and many others. © 2010 Elsevier Ltd. All rights reserved. 2014-08-30T03:23:57Z 2014-08-30T03:23:57Z 2010 Article 8981221 10.1016/j.camwa.2010.07.025 CMAPD http://www.scopus.com/inward/record.url?eid=2-s2.0-77957920196&partnerID=40&md5=93a8c11ba3640659741c82c6b923f628 http://cmuir.cmu.ac.th/handle/6653943832/6200 English |
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In this paper, we introduce a new iterative scheme for finding a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. We establish weak and strong convergence theorems. Our main results improve and extend the corresponding ones obtained in Schu (1991) [J. Schu, Iterative construction of fixed points of asymptotically nonexpansive mapping, J. Math. Anal. Appl. 159 (1991) 407413] and many others. © 2010 Elsevier Ltd. All rights reserved. |
| format |
Article |
| author |
Cholamjiak W. Suantai S. |
| spellingShingle |
Cholamjiak W. Suantai S. Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings |
| author_facet |
Cholamjiak W. Suantai S. |
| author_sort |
Cholamjiak W. |
| title |
Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings |
| title_short |
Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings |
| title_full |
Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings |
| title_fullStr |
Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings |
| title_full_unstemmed |
Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings |
| title_sort |
weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-77957920196&partnerID=40&md5=93a8c11ba3640659741c82c6b923f628 http://cmuir.cmu.ac.th/handle/6653943832/6200 |
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1681420569165168640 |