A new composite general iterative scheme for nonexpansive semigroups in banach spaces

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Kumam P., Sunthrayuth P.

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-s2.0-80052682457&doi=10.1155%2f2011%2f560671&partnerID=40&md5=74f343c3493bcbda788cf398772b4b81

Languages: English-Great Britain (EN-GB)

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Abstract

We introduce a new general composite iterative scheme for finding a common fixed point of nonexpansive semigroups in the framework of Banach spaces which admit a weakly continuous duality mapping. A strong convergence theorem of the purposed iterative approximation method is established under some certain control conditions. Our results improve and extend announced by many others. ฉ 2011 Pongsakorn Sunthrayuth and Poom Kumam.

Keywords