Weak and strong convergence theorems for zero points of inverse strongly monotone mapping and fixed points of quasi-nonexpansive mappings in Hilbert space

© 2019 by the Mathematical Association of Thailand. All rights reserved. In this paper, we propose a new algorithm for zero points of inverse strongly monotone mapping and fixed points of a finite of quasi-nonexpansive mappings in Hilbert space and prove weak and strong convergence theorems for the...

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Main Authors:	Buris Tongnoi, Suthep Suantaiz
Format:	Journal
Published:	2020
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073288086&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67906
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-67906
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spelling	th-cmuir.6653943832-679062020-04-02T15:10:39Z Weak and strong convergence theorems for zero points of inverse strongly monotone mapping and fixed points of quasi-nonexpansive mappings in Hilbert space Buris Tongnoi Suthep Suantaiz Mathematics © 2019 by the Mathematical Association of Thailand. All rights reserved. In this paper, we propose a new algorithm for zero points of inverse strongly monotone mapping and fixed points of a finite of quasi-nonexpansive mappings in Hilbert space and prove weak and strong convergence theorems for the proposed methods under some conditions. Moreover, we also show that the sequence generated by our algorithm converges to a solution of some variational inequality problem. 2020-04-02T15:10:39Z 2020-04-02T15:10:39Z 2019-08-01 Journal 16860209 2-s2.0-85073288086 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073288086&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67906
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Buris Tongnoi Suthep Suantaiz Weak and strong convergence theorems for zero points of inverse strongly monotone mapping and fixed points of quasi-nonexpansive mappings in Hilbert space
description	© 2019 by the Mathematical Association of Thailand. All rights reserved. In this paper, we propose a new algorithm for zero points of inverse strongly monotone mapping and fixed points of a finite of quasi-nonexpansive mappings in Hilbert space and prove weak and strong convergence theorems for the proposed methods under some conditions. Moreover, we also show that the sequence generated by our algorithm converges to a solution of some variational inequality problem.
format	Journal
author	Buris Tongnoi Suthep Suantaiz
author_facet	Buris Tongnoi Suthep Suantaiz
author_sort	Buris Tongnoi
title	Weak and strong convergence theorems for zero points of inverse strongly monotone mapping and fixed points of quasi-nonexpansive mappings in Hilbert space
title_short	Weak and strong convergence theorems for zero points of inverse strongly monotone mapping and fixed points of quasi-nonexpansive mappings in Hilbert space
title_full	Weak and strong convergence theorems for zero points of inverse strongly monotone mapping and fixed points of quasi-nonexpansive mappings in Hilbert space
title_fullStr	Weak and strong convergence theorems for zero points of inverse strongly monotone mapping and fixed points of quasi-nonexpansive mappings in Hilbert space
title_full_unstemmed	Weak and strong convergence theorems for zero points of inverse strongly monotone mapping and fixed points of quasi-nonexpansive mappings in Hilbert space
title_sort	weak and strong convergence theorems for zero points of inverse strongly monotone mapping and fixed points of quasi-nonexpansive mappings in hilbert space
publishDate	2020
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073288086&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67906
_version_	1681426721763491840

Weak and strong convergence theorems for zero points of inverse strongly monotone mapping and fixed points of quasi-nonexpansive mappings in Hilbert space

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