Common fixed points of multistep noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings

We introduce a general iteration scheme for a finite family of generalized asymptotically quasi-nonexpansive mappings in Banach spaces. The new iterative scheme includes the multistep Noor iterations with errors, modified Mann and Ishikawa iterations, three-step iterative scheme of Xu and Noor, and...

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Main Authors: S. Suantai, S. Imnang
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/59729
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-597292018-09-10T03:20:33Z Common fixed points of multistep noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings S. Suantai S. Imnang Mathematics We introduce a general iteration scheme for a finite family of generalized asymptotically quasi-nonexpansive mappings in Banach spaces. The new iterative scheme includes the multistep Noor iterations with errors, modified Mann and Ishikawa iterations, three-step iterative scheme of Xu and Noor, and Khan and Takahashi scheme as special cases. Our results generalize and improve the recent ones announced by Khan et al. (2008), H. Fukhar-ud-din and S. H. Khan (2007), J. U. Jeong and S. H. Kim (2006), and many others. 2018-09-10T03:20:33Z 2018-09-10T03:20:33Z 2009-11-18 Journal 16870409 10853375 2-s2.0-70449366135 10.1155/2009/728510 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70449366135&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59729
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
S. Suantai
S. Imnang
Common fixed points of multistep noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings
description We introduce a general iteration scheme for a finite family of generalized asymptotically quasi-nonexpansive mappings in Banach spaces. The new iterative scheme includes the multistep Noor iterations with errors, modified Mann and Ishikawa iterations, three-step iterative scheme of Xu and Noor, and Khan and Takahashi scheme as special cases. Our results generalize and improve the recent ones announced by Khan et al. (2008), H. Fukhar-ud-din and S. H. Khan (2007), J. U. Jeong and S. H. Kim (2006), and many others.
format Journal
author S. Suantai
S. Imnang
author_facet S. Suantai
S. Imnang
author_sort S. Suantai
title Common fixed points of multistep noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings
title_short Common fixed points of multistep noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings
title_full Common fixed points of multistep noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings
title_fullStr Common fixed points of multistep noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings
title_full_unstemmed Common fixed points of multistep noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings
title_sort common fixed points of multistep noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70449366135&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/59729
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