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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | 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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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | 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. |
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