Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2011 (2011), Article ID 854360, 19 pages.
The General Hybrid Approximation Methods for Nonexpansive Mappings in Banach Spaces
We introduce two general hybrid iterative approximation methods (one implicit and one explicit) for finding a fixed point of a nonexpansive mapping which solving the variational inequality generated by two strongly positive bounded linear operators. Strong convergence theorems of the proposed iterative methods are obtained in a reflexive Banach space which admits a weakly continuous duality mapping. The results presented in this paper improve and extend the corresponding results announced by Marino and Xu (2006), Wangkeeree et al. (in press), and Ceng et al. (2009).
Abstr. Appl. Anal., Volume 2011 (2011), Article ID 854360, 19 pages.
First available in Project Euclid: 12 August 2011
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Wangkeeree, Rabian. The General Hybrid Approximation Methods for Nonexpansive Mappings in Banach Spaces. Abstr. Appl. Anal. 2011 (2011), Article ID 854360, 19 pages. doi:10.1155/2011/854360. https://projecteuclid.org/euclid.aaa/1313171131