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Open Access Research Article

A New General Iterative Method for a Finite Family of Nonexpansive Mappings in Hilbert Spaces

Urailuk Singthong1 and Suthep Suantai12*

Author Affiliations

1 Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

2 PERDO National Centre of Excellence in Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand

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Fixed Point Theory and Applications 2010, 2010:262691  doi:10.1155/2010/262691

Published: 2 August 2010

Abstract

We introduce a new general iterative method by using the -mapping for finding a common fixed point of a finite family of nonexpansive mappings in the framework of Hilbert spaces. A strong convergence theorem of the purposed iterative method is established under some certain control conditions. Our results improve and extend the results announced by many others.