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: Suthep Suantai, Urailuk Singthong
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957961809&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50982
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Institution: Chiang Mai University
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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.