Viscosity modification with inertial forward-backward splitting methods for solving inclusion problems

Viscosity modification with inertial forward-backward splitting methods for solving inclusion problems

© Springer Nature Switzerland AG 2020. In this paper, we introduce the two new different modified forward-backward algorithms combining the viscosity approximation method with the inertial technical term for solving the inclusion problem. The strongly convergent theorems are established under some s...

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Main Authors: D. Yambangwai, S. Suantai, H. Dutta, W. Cholamjiak
Format: Book Series
Published: 2020
Subjects:
Computer Science
Engineering
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081623302&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/68346
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-683462020-04-02T15:26:15Z Viscosity modification with inertial forward-backward splitting methods for solving inclusion problems D. Yambangwai S. Suantai H. Dutta W. Cholamjiak Computer Science Engineering © Springer Nature Switzerland AG 2020. In this paper, we introduce the two new different modified forward-backward algorithms combining the viscosity approximation method with the inertial technical term for solving the inclusion problem. The strongly convergent theorems are established under some suitable conditions in Hilbert spaces. The application of algorithms in this study work is use to find the minimum-norm least-squares solution of an unconstrained linear system and test some numerical experiments. Moreover, the efficiency and the implementation of our methods have been shown through the examples. 2020-04-02T15:25:18Z 2020-04-02T15:25:18Z 2020-01-01 Book Series 23673389 23673370 2-s2.0-85081623302 10.1007/978-3-030-43002-3_14 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081623302&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68346
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Computer Science
Engineering
spellingShingle Computer Science
Engineering
D. Yambangwai
S. Suantai
H. Dutta
W. Cholamjiak
Viscosity modification with inertial forward-backward splitting methods for solving inclusion problems
description © Springer Nature Switzerland AG 2020. In this paper, we introduce the two new different modified forward-backward algorithms combining the viscosity approximation method with the inertial technical term for solving the inclusion problem. The strongly convergent theorems are established under some suitable conditions in Hilbert spaces. The application of algorithms in this study work is use to find the minimum-norm least-squares solution of an unconstrained linear system and test some numerical experiments. Moreover, the efficiency and the implementation of our methods have been shown through the examples.
format Book Series
author D. Yambangwai
S. Suantai
H. Dutta
W. Cholamjiak
author_facet D. Yambangwai
S. Suantai
H. Dutta
W. Cholamjiak
author_sort D. Yambangwai
title Viscosity modification with inertial forward-backward splitting methods for solving inclusion problems
title_short Viscosity modification with inertial forward-backward splitting methods for solving inclusion problems
title_full Viscosity modification with inertial forward-backward splitting methods for solving inclusion problems
title_fullStr Viscosity modification with inertial forward-backward splitting methods for solving inclusion problems
title_full_unstemmed Viscosity modification with inertial forward-backward splitting methods for solving inclusion problems
title_sort viscosity modification with inertial forward-backward splitting methods for solving inclusion problems
publishDate 2020
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081623302&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/68346
_version_ 1681426803420299264

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