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Mann iteration of Cesàro means for asymptotically non-expansive mappings

✍ Scribed by Yisheng Song

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 478 KB
Volume: 72
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2009.06.045

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Let E be a real uniformly convex Banach space, K be a closed convex non-empty subset of E which is also a non-expansive retract with retraction P. Let T 1 , T 2 , . . . , T r : K → E be asymptotically non-expansive mappings of K into E with sequences (respectively), k jn be a sequence in [ε, 1 -ε]