An inertial parallel algorithm for a finite family of $ G $-nonexpansive mappings applied to signal recovery

This study investigates the weak convergence of the sequences generated by the inertial technique combining the parallel monotone hybrid method for finding a common fixed point of a finite family of $ G $-nonexpansive mappings under suitable conditions in Hilbert spaces endowed with graphs. Some num...

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Veröffentlicht in:AIMS mathematics Jg. 7; H. 2; S. 1775 - 1790
Hauptverfasser: Jun-on, Nipa, Suparatulatorn, Raweerote, Gamal, Mohamed, Cholamjiak, Watcharaporn
Format: Journal Article
Sprache:Englisch
Veröffentlicht: AIMS Press 01.01.2022
Schlagworte:
g-nonexpansive
inertial extrapolation
numerical discussion
parallel algorithm
weak convergence
ISSN:2473-6988, 2473-6988
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Abstract This study investigates the weak convergence of the sequences generated by the inertial technique combining the parallel monotone hybrid method for finding a common fixed point of a finite family of $ G $-nonexpansive mappings under suitable conditions in Hilbert spaces endowed with graphs. Some numerical examples are also presented, providing applications to signal recovery under situations without knowing the type of noises. Besides, numerical experiments of the proposed algorithms, defined by different types of blurred matrices and noises on the algorithm, are able to show the efficiency and the implementation for LASSO problem in signal recovery.
AbstractList This study investigates the weak convergence of the sequences generated by the inertial technique combining the parallel monotone hybrid method for finding a common fixed point of a finite family of G-nonexpansive mappings under suitable conditions in Hilbert spaces endowed with graphs. Some numerical examples are also presented, providing applications to signal recovery under situations without knowing the type of noises. Besides, numerical experiments of the proposed algorithms, defined by different types of blurred matrices and noises on the algorithm, are able to show the efficiency and the implementation for LASSO problem in signal recovery.
Author Cholamjiak, Watcharaporn
Jun-on, Nipa
Suparatulatorn, Raweerote
Gamal, Mohamed
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Cites_doi 10.1137/080716542
10.1007/s40314-021-01530-6
10.3390/math7100936
10.1007/s10851-006-9699-4
10.4134/JKMS.2015.52.2.373
10.1007/s11075-017-0452-4
10.1007/s10013-015-0129-z
10.1007/s12190-015-0980-9
10.1016/0041-5553(64)90137-5
10.1007/s11075-015-0092-5
10.1007/s11075-017-0324-y
10.1186/s13663-015-0436-9
10.3390/math8010042
10.1007/s43037-019-00030-4
10.1016/j.akcej.2017.01.001
10.1007/s40840-018-0606-0
10.1016/j.cam.2018.03.019
10.23952/asvao.1.2019.1.06
10.1016/j.topol.2011.10.013
10.1007/s12190-014-0801-6
10.1090/S0002-9939-07-09110-1
10.1016/j.jmaa.2008.03.028
10.1137/130910294
10.1007/s13398-020-00827-1
10.1007/s13370-016-0473-5
10.1007/s10013-020-00447-7
10.1002/mma.5420
10.1109/TAC.2020.3004773
10.1016/j.jmaa.2005.03.002
10.1080/00207160.2019.1649661
10.1186/s13663-016-0578-4
10.1023/A:1011253113155
10.1186/s13663-015-0294-5
10.1186/s13663-015-0341-2
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CorporateAuthor School of Science, University of Phayao, Phayao 56000, Thailand
Faculty of Sciences, Lampang Rajabhat University, Lampang 52100, Thailand
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt
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References key-10.3934/math.2022102-18
key-10.3934/math.2022102-19
key-10.3934/math.2022102-16
key-10.3934/math.2022102-17
key-10.3934/math.2022102-14
key-10.3934/math.2022102-15
key-10.3934/math.2022102-12
key-10.3934/math.2022102-34
key-10.3934/math.2022102-13
key-10.3934/math.2022102-10
key-10.3934/math.2022102-32
key-10.3934/math.2022102-11
key-10.3934/math.2022102-33
key-10.3934/math.2022102-30
key-10.3934/math.2022102-31
key-10.3934/math.2022102-7
key-10.3934/math.2022102-8
key-10.3934/math.2022102-9
key-10.3934/math.2022102-29
key-10.3934/math.2022102-1
key-10.3934/math.2022102-27
key-10.3934/math.2022102-2
key-10.3934/math.2022102-28
key-10.3934/math.2022102-3
key-10.3934/math.2022102-25
key-10.3934/math.2022102-4
key-10.3934/math.2022102-26
key-10.3934/math.2022102-5
key-10.3934/math.2022102-23
key-10.3934/math.2022102-6
key-10.3934/math.2022102-24
key-10.3934/math.2022102-21
key-10.3934/math.2022102-22
key-10.3934/math.2022102-20
References_xml – ident: key-10.3934/math.2022102-9
  doi: 10.1137/080716542
– ident: key-10.3934/math.2022102-27
  doi: 10.1007/s40314-021-01530-6
– ident: key-10.3934/math.2022102-24
  doi: 10.3390/math7100936
– ident: key-10.3934/math.2022102-1
  doi: 10.1007/s10851-006-9699-4
– ident: key-10.3934/math.2022102-12
  doi: 10.4134/JKMS.2015.52.2.373
– ident: key-10.3934/math.2022102-31
  doi: 10.1007/s11075-017-0452-4
– ident: key-10.3934/math.2022102-7
  doi: 10.1007/s10013-015-0129-z
– ident: key-10.3934/math.2022102-16
  doi: 10.1007/s12190-015-0980-9
– ident: key-10.3934/math.2022102-22
  doi: 10.1016/0041-5553(64)90137-5
– ident: key-10.3934/math.2022102-14
  doi: 10.1007/s11075-015-0092-5
– ident: key-10.3934/math.2022102-28
  doi: 10.1007/s11075-017-0324-y
– ident: key-10.3934/math.2022102-32
  doi: 10.1186/s13663-015-0436-9
– ident: key-10.3934/math.2022102-25
  doi: 10.3390/math8010042
– ident: key-10.3934/math.2022102-10
  doi: 10.1007/s43037-019-00030-4
– ident: key-10.3934/math.2022102-29
  doi: 10.1016/j.akcej.2017.01.001
– ident: key-10.3934/math.2022102-23
  doi: 10.1007/s40840-018-0606-0
– ident: key-10.3934/math.2022102-30
  doi: 10.1016/j.cam.2018.03.019
– ident: key-10.3934/math.2022102-34
  doi: 10.23952/asvao.1.2019.1.06
– ident: key-10.3934/math.2022102-2
  doi: 10.1016/j.topol.2011.10.013
– ident: key-10.3934/math.2022102-6
  doi: 10.1007/s12190-014-0801-6
– ident: key-10.3934/math.2022102-17
  doi: 10.1090/S0002-9939-07-09110-1
– ident: key-10.3934/math.2022102-21
  doi: 10.1016/j.jmaa.2008.03.028
– ident: key-10.3934/math.2022102-8
  doi: 10.1137/130910294
– ident: key-10.3934/math.2022102-11
  doi: 10.1007/s13398-020-00827-1
– ident: key-10.3934/math.2022102-15
  doi: 10.1007/s13370-016-0473-5
– ident: key-10.3934/math.2022102-13
  doi: 10.1007/s10013-020-00447-7
– ident: key-10.3934/math.2022102-18
  doi: 10.1002/mma.5420
– ident: key-10.3934/math.2022102-20
  doi: 10.1109/TAC.2020.3004773
– ident: key-10.3934/math.2022102-26
  doi: 10.1016/j.jmaa.2005.03.002
– ident: key-10.3934/math.2022102-19
  doi: 10.1080/00207160.2019.1649661
– ident: key-10.3934/math.2022102-33
  doi: 10.1186/s13663-016-0578-4
– ident: key-10.3934/math.2022102-5
  doi: 10.1023/A:1011253113155
– ident: key-10.3934/math.2022102-3
  doi: 10.1186/s13663-015-0294-5
– ident: key-10.3934/math.2022102-4
  doi: 10.1186/s13663-015-0341-2
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SubjectTerms g-nonexpansive
inertial extrapolation
numerical discussion
parallel algorithm
weak convergence
Title An inertial parallel algorithm for a finite family of $ G $-nonexpansive mappings applied to signal recovery
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