Strong convergence of the shrinking projection method for the split equilibrium problem and an infinite family of relatively nonexpansive mappings in banach spaces

© 2020 by the Mathematical Association of Thailand. In this paper, we use the shrinking projection method to prove a strong convergence theorem for finding a common solution of the split equilibrium problem and fixed point problem of a relatively quasi-nonexpansive mapping. Consequently, our main th...

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Main Authors:	Nutchari Niyamosot, Warunun Inthakon
Format:	Journal
Published:	2020
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85084437003&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70732
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-70732
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spelling	th-cmuir.6653943832-707322020-10-14T08:40:09Z Strong convergence of the shrinking projection method for the split equilibrium problem and an infinite family of relatively nonexpansive mappings in banach spaces Nutchari Niyamosot Warunun Inthakon Mathematics © 2020 by the Mathematical Association of Thailand. In this paper, we use the shrinking projection method to prove a strong convergence theorem for finding a common solution of the split equilibrium problem and fixed point problem of a relatively quasi-nonexpansive mapping. Consequently, our main theorem can apply to find a common solution of the split equilibrium problem and common fixed point problem for an infinite family of relatively nonexpansive mappings in Banach spaces. 2020-10-14T08:40:09Z 2020-10-14T08:40:09Z 2020-01-01 Journal 16860209 2-s2.0-85084437003 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85084437003&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70732
institution	Chiang Mai University
building	Chiang Mai University Library
continent	Asia
country	Thailand Thailand
content_provider	Chiang Mai University Library
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Nutchari Niyamosot Warunun Inthakon Strong convergence of the shrinking projection method for the split equilibrium problem and an infinite family of relatively nonexpansive mappings in banach spaces
description	© 2020 by the Mathematical Association of Thailand. In this paper, we use the shrinking projection method to prove a strong convergence theorem for finding a common solution of the split equilibrium problem and fixed point problem of a relatively quasi-nonexpansive mapping. Consequently, our main theorem can apply to find a common solution of the split equilibrium problem and common fixed point problem for an infinite family of relatively nonexpansive mappings in Banach spaces.
format	Journal
author	Nutchari Niyamosot Warunun Inthakon
author_facet	Nutchari Niyamosot Warunun Inthakon
author_sort	Nutchari Niyamosot
title	Strong convergence of the shrinking projection method for the split equilibrium problem and an infinite family of relatively nonexpansive mappings in banach spaces
title_short	Strong convergence of the shrinking projection method for the split equilibrium problem and an infinite family of relatively nonexpansive mappings in banach spaces
title_full	Strong convergence of the shrinking projection method for the split equilibrium problem and an infinite family of relatively nonexpansive mappings in banach spaces
title_fullStr	Strong convergence of the shrinking projection method for the split equilibrium problem and an infinite family of relatively nonexpansive mappings in banach spaces
title_full_unstemmed	Strong convergence of the shrinking projection method for the split equilibrium problem and an infinite family of relatively nonexpansive mappings in banach spaces
title_sort	strong convergence of the shrinking projection method for the split equilibrium problem and an infinite family of relatively nonexpansive mappings in banach spaces
publishDate	2020
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85084437003&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70732
_version_	1681752956133703680

Strong convergence of the shrinking projection method for the split equilibrium problem and an infinite family of relatively nonexpansive mappings in banach spaces

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