A new general iterative method for a finite family of nonexpansive mappings in hilbert spaces

We introduce a new general iterative method by using the K -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...

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Bibliographic Details
Main Authors: Suantai S., Singthong U.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-77957961809&partnerID=40&md5=478183b5dcc4ff8215f99b60c7087ceb
http://cmuir.cmu.ac.th/handle/6653943832/6192
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Institution: Chiang Mai University
Language: English
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Summary:We introduce a new general iterative method by using the K -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. Copyright 2010 Urailuk Singthong and Suthep Suantai.