Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708423 | Applied Mathematics Letters | 2011 | 4 Pages |
Abstract
The purpose of this paper is to establish some necessary and sufficient conditions for the strong convergence of the Ishikawa iterative sequence and the Mann iterative sequence to a fixed point of pseudocontractive mapping in Banach spaces. Our results, to some extent, improve and extend the well-known result of [S. Ishikawa, Fixed points by a new iteration method, Proc. Amer. Math. Soc. 44(1) (1974) 147–150.] to Banach spaces.
Related Topics
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Authors
Yu-Chao Tang, Ji-Gen Peng, Liang-Gen Hu, Li-Wei Liu,