Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings
© Liang-Gen Hu. 2008
Received: 12 September 2008
Accepted: 9 December 2008
Published: 21 December 2008
The purpose of this paper is to consider that a modified Halpern's iterative sequence 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.
To access the full article, please see PDF.
This article is published under license to BioMed Central Ltd. 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.