On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
© 2016 Informa UK Limited, trading as Taylor & Francis Group. We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some mild conditions. Our...
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| Main Authors: | , , |
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| Format: | Journal |
| Published: |
2017
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| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84989246664&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40838 |
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| Institution: | Chiang Mai University |
| Summary: | © 2016 Informa UK Limited, trading as Taylor & Francis Group. We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some mild conditions. Our results extend some known results which appeared in the literature. |
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