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
格式: 雜誌
出版: 2020
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機構: Chiang Mai University
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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
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