The split equilibrium problem and common fixed points of two relatively quasi-nonexpansive mappings in Banach spaces
© 2019 Yokohama Publications. All rights reserved. In this paper, we prove a strong convergence theorem for finding a common element of the solution set of the split equilibrium problem and a common fixed points set of two relatively quasi-nonexpansive mappings in Banach spaces. Furthermore, we also...
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Main Authors: | , |
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Format: | Journal |
Published: |
2020
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Subjects: | |
Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079284007&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67910 |
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Institution: | Chiang Mai University |
Summary: | © 2019 Yokohama Publications. All rights reserved. In this paper, we prove a strong convergence theorem for finding a common element of the solution set of the split equilibrium problem and a common fixed points set of two relatively quasi-nonexpansive mappings in Banach spaces. Furthermore, we also prove a weak convergence theorem for the split equilibrium problem and a common fixed points set of two relatively nonexpansive mappings. Consequently, our main results can be applied to some equilibrium problems in Banach spaces. |
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