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Strong convergence of iteration algorithms for a countable family of nonexpansive mappings

โœ Scribed by Yisheng Song; Yunchun Zheng

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
597 KB
Volume
71
Category
Article
ISSN
0362-546X

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ร„ 4 ร„ 4 ร„ 4 mapping. Given a sequence x in D and two real sequences t and s ร„ 4 5 5 we prove that if x is bounded, then lim Tx y x s 0. The conditions on n n ยช ฯฑn n D , X, and T are shown which guarantee the weak and strong convergence of the Ishikawa iteration process to a fixed point of T.