Generalized self-adaptive algorithm for solving split common fixed point problem and its application to image restoration problem

Generalized self-adaptive algorithm for solving split common fixed point problem and its application to image restoration problem

© 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. In this work, we introduce a self-adaptive algorithm, based on viscosity approximation methods, to solve split common fixed point problems of demicontractive operators in real Hilbert spaces. Besides, the strong convergence...

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Main Authors: Raweerote Suparatulatorn, Anchalee Khemphet, Phakdi Charoensawan, Suthep Suantai, Narawadee Phudolsitthiphat
Format: Journal
Published: 2019
Subjects:
Computer Science
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85066612381&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/65536
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-655362019-08-05T04:39:38Z Generalized self-adaptive algorithm for solving split common fixed point problem and its application to image restoration problem Raweerote Suparatulatorn Anchalee Khemphet Phakdi Charoensawan Suthep Suantai Narawadee Phudolsitthiphat Computer Science Mathematics © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. In this work, we introduce a self-adaptive algorithm, based on viscosity approximation methods, to solve split common fixed point problems of demicontractive operators in real Hilbert spaces. Besides, the strong convergence theorem for the algorithm is established under some additional assumptions. On top of that, numerical results on image restoration problems are given. It shows that our proposed algorithm is efficient and outperforms the other algorithms for this experiment. 2019-08-05T04:35:06Z 2019-08-05T04:35:06Z 2019-01-01 Journal 10290265 00207160 2-s2.0-85066612381 10.1080/00207160.2019.1622687 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85066612381&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65536
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Computer Science
Mathematics
spellingShingle Computer Science
Mathematics
Raweerote Suparatulatorn
Anchalee Khemphet
Phakdi Charoensawan
Suthep Suantai
Narawadee Phudolsitthiphat
Generalized self-adaptive algorithm for solving split common fixed point problem and its application to image restoration problem
description © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. In this work, we introduce a self-adaptive algorithm, based on viscosity approximation methods, to solve split common fixed point problems of demicontractive operators in real Hilbert spaces. Besides, the strong convergence theorem for the algorithm is established under some additional assumptions. On top of that, numerical results on image restoration problems are given. It shows that our proposed algorithm is efficient and outperforms the other algorithms for this experiment.
format Journal
author Raweerote Suparatulatorn
Anchalee Khemphet
Phakdi Charoensawan
Suthep Suantai
Narawadee Phudolsitthiphat
author_facet Raweerote Suparatulatorn
Anchalee Khemphet
Phakdi Charoensawan
Suthep Suantai
Narawadee Phudolsitthiphat
author_sort Raweerote Suparatulatorn
title Generalized self-adaptive algorithm for solving split common fixed point problem and its application to image restoration problem
title_short Generalized self-adaptive algorithm for solving split common fixed point problem and its application to image restoration problem
title_full Generalized self-adaptive algorithm for solving split common fixed point problem and its application to image restoration problem
title_fullStr Generalized self-adaptive algorithm for solving split common fixed point problem and its application to image restoration problem
title_full_unstemmed Generalized self-adaptive algorithm for solving split common fixed point problem and its application to image restoration problem
title_sort generalized self-adaptive algorithm for solving split common fixed point problem and its application to image restoration problem
publishDate 2019
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85066612381&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/65536
_version_ 1681426287211577344

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