Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings
We prove a weak convergence theorem of the modified Mann iteration process for a uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space. We also introduce two kinds of new monotone hybrid methods and obtain strong convergence theorems for...
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th-cmuir.6653943832-597262018-09-10T03:20:30Z Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings Suthep Suantai Watcharaporn Cholamjiak Mathematics We prove a weak convergence theorem of the modified Mann iteration process for a uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space. We also introduce two kinds of new monotone hybrid methods and obtain strong convergence theorems for an infinitely countable family of uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mappings in a Hilbert space. The results improve and extend the corresponding ones announced by Kim and Xu (2006) and Nakajo and Takahashi (2003). © 2009 W. Cholamjiak and S. Suantai. 2018-09-10T03:20:30Z 2018-09-10T03:20:30Z 2009-12-01 Journal 16870409 10853375 2-s2.0-74849116696 10.1155/2009/297565 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=74849116696&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59726 |
| institution |
Chiang Mai University |
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Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| topic |
Mathematics |
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Mathematics Suthep Suantai Watcharaporn Cholamjiak Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings |
| description |
We prove a weak convergence theorem of the modified Mann iteration process for a uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space. We also introduce two kinds of new monotone hybrid methods and obtain strong convergence theorems for an infinitely countable family of uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mappings in a Hilbert space. The results improve and extend the corresponding ones announced by Kim and Xu (2006) and Nakajo and Takahashi (2003). © 2009 W. Cholamjiak and S. Suantai. |
| format |
Journal |
| author |
Suthep Suantai Watcharaporn Cholamjiak |
| author_facet |
Suthep Suantai Watcharaporn Cholamjiak |
| author_sort |
Suthep Suantai |
| title |
Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings |
| title_short |
Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings |
| title_full |
Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings |
| title_fullStr |
Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings |
| title_full_unstemmed |
Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings |
| title_sort |
monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=74849116696&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59726 |
| _version_ |
1681425304693768192 |