Shrinking projection methods involving inertial forward–backward splitting methods for inclusion problems

© 2018, Springer-Verlag Italia S.r.l., part of Springer Nature. In this paper, we propose a modified forward–backward splitting method using the shrinking projection and the inertial technique for solving the inclusion problem of the sum of two monotone operators. We prove its strong convergence und...

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Main Authors:	Suhel Ahmad Khan, Suthep Suantai, Watcharaporn Cholamjiak
Format:	Journal
Published:	2019
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85059834664&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65682
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-65682
record_format	dspace
spelling	th-cmuir.6653943832-656822019-08-05T04:39:24Z Shrinking projection methods involving inertial forward–backward splitting methods for inclusion problems Suhel Ahmad Khan Suthep Suantai Watcharaporn Cholamjiak Mathematics © 2018, Springer-Verlag Italia S.r.l., part of Springer Nature. In this paper, we propose a modified forward–backward splitting method using the shrinking projection and the inertial technique for solving the inclusion problem of the sum of two monotone operators. We prove its strong convergence under some suitable conditions in Hilbert spaces. We provide some numerical experiments including a comparison to show the implementation and the efficiency of our method. 2019-08-05T04:39:24Z 2019-08-05T04:39:24Z 2019-04-01 Journal 15791505 15787303 2-s2.0-85059834664 10.1007/s13398-018-0504-1 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85059834664&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65682
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Suhel Ahmad Khan Suthep Suantai Watcharaporn Cholamjiak Shrinking projection methods involving inertial forward–backward splitting methods for inclusion problems
description	© 2018, Springer-Verlag Italia S.r.l., part of Springer Nature. In this paper, we propose a modified forward–backward splitting method using the shrinking projection and the inertial technique for solving the inclusion problem of the sum of two monotone operators. We prove its strong convergence under some suitable conditions in Hilbert spaces. We provide some numerical experiments including a comparison to show the implementation and the efficiency of our method.
format	Journal
author	Suhel Ahmad Khan Suthep Suantai Watcharaporn Cholamjiak
author_facet	Suhel Ahmad Khan Suthep Suantai Watcharaporn Cholamjiak
author_sort	Suhel Ahmad Khan
title	Shrinking projection methods involving inertial forward–backward splitting methods for inclusion problems
title_short	Shrinking projection methods involving inertial forward–backward splitting methods for inclusion problems
title_full	Shrinking projection methods involving inertial forward–backward splitting methods for inclusion problems
title_fullStr	Shrinking projection methods involving inertial forward–backward splitting methods for inclusion problems
title_full_unstemmed	Shrinking projection methods involving inertial forward–backward splitting methods for inclusion problems
title_sort	shrinking projection methods involving inertial forward–backward splitting methods for inclusion problems
publishDate	2019
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85059834664&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65682
_version_	1681426314400104448

Shrinking projection methods involving inertial forward–backward splitting methods for inclusion problems

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