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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | 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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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | 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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