Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings
The purpose of this paper is to consider that a modified Halpern's iterative sequence {xn} converges strongly to a fixed point of nonexpansive mappings in Banach spaces which have a uniformly Gâteaux differentiable norm. Our result is an extension of the corresponding results.
| Format: | Article |
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| Language: | English |
| Published: |
SpringerOpen
2009-02-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/649162 |