Strong convergence theorems of modified ishikawa iterations for countable hemi-relatively nonexpansive mappings in a Banach space

Journal article

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POOM KUMAM

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Publication Details

Author list: Petrot N., Wattanawitoon K., Kumam P.

Publisher: SpringerOpen

Publication year: 2009

Journal: Fixed Point Theory and Applications (1687-1820)

Volume number: 2009

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-70449729578&doi=10.1155%2f2009%2f483497&partnerID=40&md5=ee1bf8715ccf9c1d68be2477f6469456

Languages: English-Great Britain (EN-GB)

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Abstract

We prove some strong convergence theorems for fixed points of modified Ishikawa and Halpern iterative processes for a countable family of hemi-relatively nonexpansive mappings in auniformly convex and uniformly smooth Banach space by using the hybrid projection methods. Moreover, we also apply our results to a class of relatively nonexpansive mappings, and hence, we immediately obtain the results announced by Qin and Su's result (2007), Nilsrakoo and Saejung's result (2008), Su et al.'sresult (2008), and some known corresponding results in the literatures. Copyright ฉ 2009 Narin Petrot et al.

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