The split equilibrium problem and common fixed points of two relatively quasi-nonexpansive mappings in Banach spaces

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: Warunun Inthakon, Nutchari Niyamosot
Format: Journal
Published: 2020
Subjects:
Mathematics
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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spelling th-cmuir.6653943832-679102020-04-02T15:11:14Z The split equilibrium problem and common fixed points of two relatively quasi-nonexpansive mappings in Banach spaces Warunun Inthakon Nutchari Niyamosot Mathematics © 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. 2020-04-02T15:11:14Z 2020-04-02T15:11:14Z 2019-01-01 Journal 18805221 13454773 2-s2.0-85079284007 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079284007&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67910
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Warunun Inthakon
Nutchari Niyamosot
The split equilibrium problem and common fixed points of two relatively quasi-nonexpansive mappings in Banach spaces
description © 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.
format Journal
author Warunun Inthakon
Nutchari Niyamosot
author_facet Warunun Inthakon
Nutchari Niyamosot
author_sort Warunun Inthakon
title The split equilibrium problem and common fixed points of two relatively quasi-nonexpansive mappings in Banach spaces
title_short The split equilibrium problem and common fixed points of two relatively quasi-nonexpansive mappings in Banach spaces
title_full The split equilibrium problem and common fixed points of two relatively quasi-nonexpansive mappings in Banach spaces
title_fullStr The split equilibrium problem and common fixed points of two relatively quasi-nonexpansive mappings in Banach spaces
title_full_unstemmed The split equilibrium problem and common fixed points of two relatively quasi-nonexpansive mappings in Banach spaces
title_sort split equilibrium problem and common fixed points of two relatively quasi-nonexpansive mappings in banach spaces
publishDate 2020
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079284007&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/67910
_version_ 1681426722502737920

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