Inertial viscosity forward-backward splitting algorithm for monotone inclusions and its application to image restoration problems

In this research, we are interested about the monotone inclusion problems in the scope of the real Hilbert spaces by using an inertial forward-backward splitting algorithm. In addition, we have discussed the application of this algorithm.

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Published in:International journal of computer mathematics Vol. 97; no. 1-2; pp. 482 - 497
Main Authors: Kitkuan, Duangkamon, Kumam, Poom, Martínez-Moreno, Juan, Sitthithakerngkiet, Kanokwan
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 01.02.2020
Taylor & Francis Ltd
Subjects:
Algorithms
forward-backward algorithm
Hilbert space
Image restoration
Inclusions
Inertial algorithm
inertial splitting algorithm
monotone inclusion problems
Splitting
ISSN:0020-7160, 1029-0265
Online Access:Get full text
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Abstract In this research, we are interested about the monotone inclusion problems in the scope of the real Hilbert spaces by using an inertial forward-backward splitting algorithm. In addition, we have discussed the application of this algorithm.
AbstractList In this research, we are interested about the monotone inclusion problems in the scope of the real Hilbert spaces by using an inertial forward-backward splitting algorithm. In addition, we have discussed the application of this algorithm.
Author Kumam, Poom
Sitthithakerngkiet, Kanokwan
Kitkuan, Duangkamon
Martínez-Moreno, Juan
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  surname: Kitkuan
  fullname: Kitkuan, Duangkamon
  organization: KMUTT-Fixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT)
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  givenname: Poom
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  surname: Kumam
  fullname: Kumam, Poom
  email: poom.kum@kmutt.ac.th
  organization: Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, King Mongkut's University of Technology Thonburi (KMUTT)
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  givenname: Juan
  orcidid: 0000-0002-3340-2781
  surname: Martínez-Moreno
  fullname: Martínez-Moreno, Juan
  organization: Department of Mathematics, Faculty of Experimental Science, University of Jaén
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  givenname: Kanokwan
  orcidid: 0000-0002-8496-7803
  surname: Sitthithakerngkiet
  fullname: Sitthithakerngkiet, Kanokwan
  organization: Department of Mathematics, Faculty of Applied Science, King Mongkuts University of Technology North Bangkok
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StartPage 482
SubjectTerms Algorithms
forward-backward algorithm
Hilbert space
Image restoration
Inclusions
Inertial algorithm
inertial splitting algorithm
monotone inclusion problems
Splitting
Title Inertial viscosity forward-backward splitting algorithm for monotone inclusions and its application to image restoration problems
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