Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 230, Issue 1, Pages 121-127Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2008.10.058
Keywords
Nonexpansive mapping; Contraction; Strong convergence; Fixed point
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Funding
- Korea Research Foundation
- Korean Government (MOEHRD) [KRF2007-313-C00040]
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In an infinite-dimensional Hilbert space, the normal Mann's iteration algorithm has only weak convergence, in general, even for nonexpansive mappings. In order to get a strong convergence result, we modify the normal Mann's iterative process for an infinite family of nonexpansive mappings in the framework of Banach spaces. Our results improve and extend the recent results announced by many others. (C) 2008 Elsevier B.V. All rights reserved.
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