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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Main Authors: Suthep Suantai, Urailuk Singthong
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/50982
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-509822018-09-04T04:49:18Z A new general iterative method for a finite family of nonexpansive mappings in hilbert spaces Suthep Suantai Urailuk Singthong Mathematics 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. 2018-09-04T04:49:18Z 2018-09-04T04:49:18Z 2010-10-21 Journal 16871812 16871820 2-s2.0-77957961809 10.1155/2010/262691 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957961809&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50982
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Suthep Suantai
Urailuk Singthong
A new general iterative method for a finite family of nonexpansive mappings in hilbert spaces
description 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.
format Journal
author Suthep Suantai
Urailuk Singthong
author_facet Suthep Suantai
Urailuk Singthong
author_sort Suthep Suantai
title A new general iterative method for a finite family of nonexpansive mappings in hilbert spaces
title_short A new general iterative method for a finite family of nonexpansive mappings in hilbert spaces
title_full A new general iterative method for a finite family of nonexpansive mappings in hilbert spaces
title_fullStr A new general iterative method for a finite family of nonexpansive mappings in hilbert spaces
title_full_unstemmed A new general iterative method for a finite family of nonexpansive mappings in hilbert spaces
title_sort new general iterative method for a finite family of nonexpansive mappings in hilbert spaces
publishDate 2018
url 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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