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http://dx.doi.org/10.4134/BKMS.2006.43.4.771

ITERATIVE ALGORITHMS WITH ERRORS FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES  

Jung, Jong-Soo (DEPARTMENT OF MATHEMATICS, DONG-A UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.4, 2006 , pp. 771-790 More about this Journal
Abstract
The iterative algorithms with errors for nonexpansive mappings are investigated in Banach spaces. Strong convergence theorems for these algorithms are obtained. Our results improve the corresponding results in [5, 13-15, 23, 27-29, 32] as well as those in [1, 16, 19, 26] in framework of a Hilbert space.
Keywords
iterative algorithm; nonexpansive mapping; fixed point; sunny and nonexpansive retraction; uniformly convex; uniformly Gateaux differentiable norm;
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