Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in Banach spaces
In this paper, we study monotone hybrid method for finding a common fixed point of a family of generalized nonexpansive mappings and then prove a strong convergence theorem for a family of generalized nonexpansive mappings in Banach spaces. Using this theorem, we obtain some new results for a genera...
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th-cmuir.6653943832-518172018-09-04T06:09:37Z Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in Banach spaces Chakkrid Klin-eam Suthep Suantai Wataru Takahashi Mathematics In this paper, we study monotone hybrid method for finding a common fixed point of a family of generalized nonexpansive mappings and then prove a strong convergence theorem for a family of generalized nonexpansive mappings in Banach spaces. Using this theorem, we obtain some new results for a generalized nonexpansive mapping and two generalized nonexpansive mappings in Banach spaces. Moreover, we apply our main result to obtain a strong convergence theorem for a family of nonexpansive mappings in a Hilbert space. 2018-09-04T06:09:37Z 2018-09-04T06:09:37Z 2012-01-01 Journal 10275487 2-s2.0-84869761911 10.11650/twjm/1500406834 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84869761911&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51817 |
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Mathematics Chakkrid Klin-eam Suthep Suantai Wataru Takahashi Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in Banach spaces |
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In this paper, we study monotone hybrid method for finding a common fixed point of a family of generalized nonexpansive mappings and then prove a strong convergence theorem for a family of generalized nonexpansive mappings in Banach spaces. Using this theorem, we obtain some new results for a generalized nonexpansive mapping and two generalized nonexpansive mappings in Banach spaces. Moreover, we apply our main result to obtain a strong convergence theorem for a family of nonexpansive mappings in a Hilbert space. |
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Journal |
| author |
Chakkrid Klin-eam Suthep Suantai Wataru Takahashi |
| author_facet |
Chakkrid Klin-eam Suthep Suantai Wataru Takahashi |
| author_sort |
Chakkrid Klin-eam |
| title |
Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in Banach spaces |
| title_short |
Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in Banach spaces |
| title_full |
Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in Banach spaces |
| title_fullStr |
Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in Banach spaces |
| title_full_unstemmed |
Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in Banach spaces |
| title_sort |
strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in banach spaces |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84869761911&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51817 |
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1681423838302175232 |