Strong convergence theorems for two relatively asymptotically nonexpansive mappings in Banach spaces

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Author list: Wattanawitoon K., Humphries U., Kumam P.

Publisher: Hikari

Publication year: 2011

Journal: International Journal of Mathematical Analysis (1312-8876)

Volume number: 5

Issue number: 33-36

Start page: 1719

End page: 1732

Number of pages: 14

ISSN: 1312-8876

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-81255150803&partnerID=40&md5=8f7af896fb888b6544947f2ff56b4622

Languages: English-Great Britain (EN-GB)

Abstract

In this paper, we prove a strong convergence theorem of modified Ishikawa iteration processes by the new hybrid iterative method introduced by Takahashi et al. (2008) for two relatively asymptotically nonexpansive mappings in Banach spaces under some appropriate conditions. Furthermore, our result improves and generalizes the corresponding results announced by many others.

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