Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces
We introduce a new iterative algorithm for finding a common fixed point of a countable family of strict pseudocontractions in q-uniformly smooth and uniformly convex Banach spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common fixed point of an in...
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th-cmuir.6653943832-65302014-08-30T03:24:19Z Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces Cholamjiak P. Suantai S. We introduce a new iterative algorithm for finding a common fixed point of a countable family of strict pseudocontractions in q-uniformly smooth and uniformly convex Banach spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common fixed point of an infinite family of strict pseudocontractions. Our results mainly improve and extend the results announced by Yao et al. [Y. Yao, Y.-C. Liou, G. Marino, Strong convergence of two iterative algorithms for nonexpansive mappings in Hilbert spaces, Fixed Point Theory Appl. 2009 (2009) 7 pages. doi:10.1155/2009/279058. Art. ID 279058]. © 2011 Elsevier Ltd. All rights reserved. 2014-08-30T03:24:19Z 2014-08-30T03:24:19Z 2011 Article 8981221 10.1016/j.camwa.2011.06.008 CMAPD http://www.scopus.com/inward/record.url?eid=2-s2.0-79960181401&partnerID=40&md5=d4b20211fd58e8826e145d96c1274b4e http://cmuir.cmu.ac.th/handle/6653943832/6530 English |
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We introduce a new iterative algorithm for finding a common fixed point of a countable family of strict pseudocontractions in q-uniformly smooth and uniformly convex Banach spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common fixed point of an infinite family of strict pseudocontractions. Our results mainly improve and extend the results announced by Yao et al. [Y. Yao, Y.-C. Liou, G. Marino, Strong convergence of two iterative algorithms for nonexpansive mappings in Hilbert spaces, Fixed Point Theory Appl. 2009 (2009) 7 pages. doi:10.1155/2009/279058. Art. ID 279058]. © 2011 Elsevier Ltd. All rights reserved. |
| format |
Article |
| author |
Cholamjiak P. Suantai S. |
| spellingShingle |
Cholamjiak P. Suantai S. Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces |
| author_facet |
Cholamjiak P. Suantai S. |
| author_sort |
Cholamjiak P. |
| title |
Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces |
| title_short |
Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces |
| title_full |
Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces |
| title_fullStr |
Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces |
| title_full_unstemmed |
Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces |
| title_sort |
strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth banach spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-79960181401&partnerID=40&md5=d4b20211fd58e8826e145d96c1274b4e http://cmuir.cmu.ac.th/handle/6653943832/6530 |
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1681420631083581440 |