Strong convergence to common fixed points for countable families of asymptotically nonexpansive mappings and semigroups

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Kumam P., Wattanawitoon K.

Publisher: SpringerOpen

Publication year: 2010

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

Volume number: 2010

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-78650721743&doi=10.1155%2f2010%2f301868&partnerID=40&md5=8d181d20cc7969d1d3dddb17dbb296fd

Languages: English-Great Britain (EN-GB)

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Abstract

We prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert spaces. Our results extend and improve the recent results of Nakajo and Takahashi (2003) and of Zegeye and Shahzad (2008) from the class of nonexpansive mappings to asymptotically nonexpansive mappings. Copyright ฉ 2010 Kriengsak Wattanawitoon and Poom Kumam.

Keywords