Strong convergence theorems of modified Ishikawa iterative method for an infinite family of strict pseudocontractions in banach spaces

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Author list: Kumam P., Katchang P., Kumam W., Humphries U.

Publisher: Hindawi

Publication year: 2011

Journal: International Journal of Mathematics and Mathematical Sciences (0161-1712)

Volume number: 2011

ISSN: 0161-1712

eISSN: 1687-0425

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-79959259420&doi=10.1155%2f2011%2f549364&partnerID=40&md5=e481ff726509d2580510d2708c87fa7c

Languages: English-Great Britain (EN-GB)

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Abstract

We introduce a new modified Ishikawa iterative process and a new W-mapping for computing fixed points of an infinite family of strict pseudocontractions mapping in the framework of q-uniformly smooth Banach spaces. Then, we establish the strong convergence theorem of the proposed iterative scheme under some mild conditions. The results obtained in this paper extend and improve the recent results of Cai and Hu 2010, Dong et al. 2010, Katchang and Kumam 2011 and many others in the literature. Copyright 2011 Phayap Katchang et al.

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