A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs
© 2017, Springer Science+Business Media New York. In this work, we prove the weak and strong convergence of a sequence generated by a modified S-iteration process for finding a common fixed point of two G-nonexpansive mappings in a uniformly convex Banach space with a directed graph. We also give so...
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| Main Authors: | , , |
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| Format: | Journal |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85017126782&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58820 |
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| Institution: | Chiang Mai University |
| Summary: | © 2017, Springer Science+Business Media New York. In this work, we prove the weak and strong convergence of a sequence generated by a modified S-iteration process for finding a common fixed point of two G-nonexpansive mappings in a uniformly convex Banach space with a directed graph. We also give some numerical examples for supporting our main theorem and compare convergence rate between the studied iteration and the Ishikawa iteration. |
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