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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Bibliographic Details
Main Authors: Warunun Inthakon, Nutchari Niyamosot
Format: Journal
Published: 2020
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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
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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.