Abstract
A one-step iteration with errors is considered for a family of asymptotically nonexpansive nonself mappings. Weak convergence of the purposed iteration is obtained in a Banach space.
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This article is part of the series Impact of Kirk's Results on the Development of Fixed Point Theory.
Research Article
Some Weak Convergence Theorems for a Family of Asymptotically Nonexpansive Nonself Mappings
1 School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316004, China
2 Department of Mathematics, Gyeongsang National University, Jinju 660-701, South Korea
3 Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China
Fixed Point Theory and Applications 2010, 2010:218573 doi:10.1155/2010/218573
The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2010/1/218573
| Received: | 31 August 2009 |
| Accepted: | 16 November 2009 |
| Published: | 17 November 2009 |
© 2010 The Author(s).
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
