The split common fixed point problem for infinite families of demicontractive mappings

© 2018, The Author(s). In this paper, we propose a new algorithm for solving the split common fixed point problem for infinite families of demicontractive mappings. Strong convergence of the proposed method is established under suitable control conditions. We apply our main results to study the spli...

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Main Authors:	Adisak Hanjing, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85047609596&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58793
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-58793
record_format	dspace
spelling	th-cmuir.6653943832-587932018-09-05T04:32:23Z The split common fixed point problem for infinite families of demicontractive mappings Adisak Hanjing Suthep Suantai Mathematics © 2018, The Author(s). In this paper, we propose a new algorithm for solving the split common fixed point problem for infinite families of demicontractive mappings. Strong convergence of the proposed method is established under suitable control conditions. We apply our main results to study the split common null point problem, the split variational inequality problem, and the split equilibrium problem in the framework of a real Hilbert space. A numerical example supporting our main result is also given. 2018-09-05T04:32:23Z 2018-09-05T04:32:23Z 2018-12-01 Journal 16871812 16871820 2-s2.0-85047609596 10.1186/s13663-018-0639-y https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85047609596&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58793
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Adisak Hanjing Suthep Suantai The split common fixed point problem for infinite families of demicontractive mappings
description	© 2018, The Author(s). In this paper, we propose a new algorithm for solving the split common fixed point problem for infinite families of demicontractive mappings. Strong convergence of the proposed method is established under suitable control conditions. We apply our main results to study the split common null point problem, the split variational inequality problem, and the split equilibrium problem in the framework of a real Hilbert space. A numerical example supporting our main result is also given.
format	Journal
author	Adisak Hanjing Suthep Suantai
author_facet	Adisak Hanjing Suthep Suantai
author_sort	Adisak Hanjing
title	The split common fixed point problem for infinite families of demicontractive mappings
title_short	The split common fixed point problem for infinite families of demicontractive mappings
title_full	The split common fixed point problem for infinite families of demicontractive mappings
title_fullStr	The split common fixed point problem for infinite families of demicontractive mappings
title_full_unstemmed	The split common fixed point problem for infinite families of demicontractive mappings
title_sort	split common fixed point problem for infinite families of demicontractive mappings
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85047609596&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58793
_version_	1681425131853840384

The split common fixed point problem for infinite families of demicontractive mappings

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