Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs
© 2019 by the authors. In this paper, we introduce the iterative scheme for finding a common fixed point of a countable family of G-nonexpansive mappings by the shrinking projection method which generalizes Takahashi Takeuchi and Kubota's theorem in a Hilbert space with a directed graph. Simult...
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th-cmuir.6653943832-679002020-04-02T15:10:36Z Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs Suthep Suantai Mana Donganont Watcharaporn Cholamjiak Mathematics © 2019 by the authors. In this paper, we introduce the iterative scheme for finding a common fixed point of a countable family of G-nonexpansive mappings by the shrinking projection method which generalizes Takahashi Takeuchi and Kubota's theorem in a Hilbert space with a directed graph. Simultaneously, we give examples and numerical results for supporting our main theorems and compare the rate of convergence of some examples under the same conditions. 2020-04-02T15:10:36Z 2020-04-02T15:10:36Z 2019-10-01 Journal 22277390 2-s2.0-85073723117 10.3390/math7100936 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073723117&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67900 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| topic |
Mathematics |
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Mathematics Suthep Suantai Mana Donganont Watcharaporn Cholamjiak Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs |
| description |
© 2019 by the authors. In this paper, we introduce the iterative scheme for finding a common fixed point of a countable family of G-nonexpansive mappings by the shrinking projection method which generalizes Takahashi Takeuchi and Kubota's theorem in a Hilbert space with a directed graph. Simultaneously, we give examples and numerical results for supporting our main theorems and compare the rate of convergence of some examples under the same conditions. |
| format |
Journal |
| author |
Suthep Suantai Mana Donganont Watcharaporn Cholamjiak |
| author_facet |
Suthep Suantai Mana Donganont Watcharaporn Cholamjiak |
| author_sort |
Suthep Suantai |
| title |
Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs |
| title_short |
Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs |
| title_full |
Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs |
| title_fullStr |
Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs |
| title_full_unstemmed |
Hybrid methods for a countable family of G-nonexpansive mappings in Hilbert spaces endowed with graphs |
| title_sort |
hybrid methods for a countable family of g-nonexpansive mappings in hilbert spaces endowed with graphs |
| publishDate |
2020 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073723117&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67900 |
| _version_ |
1681426720603766784 |