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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2014
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th-cmuir.6653943832-69372014-08-30T03:51:24Z Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in Banach spaces Klin-eam C. Suantai S. Takahashi W. 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. 2014-08-30T03:51:24Z 2014-08-30T03:51:24Z 2012 Article 10275487 http://www.scopus.com/inward/record.url?eid=2-s2.0-84869761911&partnerID=40&md5=a4cec27c7fa85f395880cb51038b2a66 http://cmuir.cmu.ac.th/handle/6653943832/6937 English |
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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. |
| format |
Article |
| author |
Klin-eam C. Suantai S. Takahashi W. |
| spellingShingle |
Klin-eam C. Suantai S. Takahashi W. Strong convergence theorems by monotone hybrid method for a family of generalized nonexpansive mappings in Banach spaces |
| author_facet |
Klin-eam C. Suantai S. Takahashi W. |
| author_sort |
Klin-eam C. |
| 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 |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84869761911&partnerID=40&md5=a4cec27c7fa85f395880cb51038b2a66 http://cmuir.cmu.ac.th/handle/6653943832/6937 |
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1681420707286745088 |