Iterative methods for finding solutions of a class of split feasibility problems over fixed point sets in Hilbert spaces

© 2019 by the authors. We consider the split feasibility problem in Hilbert spaces when the hard constraint is common solutions of zeros of the sum of monotone operators and fixed point sets of a finite family of nonexpansive mappings, while the soft constraint is the inverse image of a fixed point...

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Main Authors:	Suthep Suantai, Narin Petrot, Montira Suwannaprapa
Format:	Journal
Published:	2020
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075360758&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67898
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-678982020-04-02T15:10:30Z Iterative methods for finding solutions of a class of split feasibility problems over fixed point sets in Hilbert spaces Suthep Suantai Narin Petrot Montira Suwannaprapa Mathematics © 2019 by the authors. We consider the split feasibility problem in Hilbert spaces when the hard constraint is common solutions of zeros of the sum of monotone operators and fixed point sets of a finite family of nonexpansive mappings, while the soft constraint is the inverse image of a fixed point set of a nonexpansive mapping. We introduce iterative algorithms for the weak and strong convergence theorems of the constructed sequences. Some numerical experiments of the introduced algorithm are also discussed. 2020-04-02T15:10:30Z 2020-04-02T15:10:30Z 2019-11-01 Journal 22277390 2-s2.0-85075360758 10.3390/math7111012 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075360758&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67898
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Suthep Suantai Narin Petrot Montira Suwannaprapa Iterative methods for finding solutions of a class of split feasibility problems over fixed point sets in Hilbert spaces
description	© 2019 by the authors. We consider the split feasibility problem in Hilbert spaces when the hard constraint is common solutions of zeros of the sum of monotone operators and fixed point sets of a finite family of nonexpansive mappings, while the soft constraint is the inverse image of a fixed point set of a nonexpansive mapping. We introduce iterative algorithms for the weak and strong convergence theorems of the constructed sequences. Some numerical experiments of the introduced algorithm are also discussed.
format	Journal
author	Suthep Suantai Narin Petrot Montira Suwannaprapa
author_facet	Suthep Suantai Narin Petrot Montira Suwannaprapa
author_sort	Suthep Suantai
title	Iterative methods for finding solutions of a class of split feasibility problems over fixed point sets in Hilbert spaces
title_short	Iterative methods for finding solutions of a class of split feasibility problems over fixed point sets in Hilbert spaces
title_full	Iterative methods for finding solutions of a class of split feasibility problems over fixed point sets in Hilbert spaces
title_fullStr	Iterative methods for finding solutions of a class of split feasibility problems over fixed point sets in Hilbert spaces
title_full_unstemmed	Iterative methods for finding solutions of a class of split feasibility problems over fixed point sets in Hilbert spaces
title_sort	iterative methods for finding solutions of a class of split feasibility problems over fixed point sets in hilbert spaces
publishDate	2020
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075360758&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67898
_version_	1681426720242008064

Iterative methods for finding solutions of a class of split feasibility problems over fixed point sets in Hilbert spaces

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