An efficient gradient-free projection algorithm for constrained nonlinear equations and image restoration

Motivated by the projection technique, in this paper, we introduce a new method for approximating the solution of nonlinear equations with convex constraints. Under the assumption that the associated mapping is Lipchitz continuous and satisfies a weaker assumption of monotonicity, we establish the g...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 1; pp. 235 - 260
Main Authors Ibrahim, Abdulkarim Hassan, Kumam, Poom, Abubakar, Auwal Bala, Yusuf, Umar Batsari, Yimer, Seifu Endris, Aremu, Kazeem Olalekan
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
compressive sensing
conjugate gradient method
convex constrained
nonlinear equations
projection method
unconstrained optimization
Online AccessGet full text

Cover

Abstract Motivated by the projection technique, in this paper, we introduce a new method for approximating the solution of nonlinear equations with convex constraints. Under the assumption that the associated mapping is Lipchitz continuous and satisfies a weaker assumption of monotonicity, we establish the global convergence of the sequence generated by the proposed algorithm. Applications and numerical example are presented to illustrate the performance of the proposed method.
AbstractList Motivated by the projection technique, in this paper, we introduce a new method for approximating the solution of nonlinear equations with convex constraints. Under the assumption that the associated mapping is Lipchitz continuous and satisfies a weaker assumption of monotonicity, we establish the global convergence of the sequence generated by the proposed algorithm. Applications and numerical example are presented to illustrate the performance of the proposed method.
Author Yimer, Seifu Endris
Abubakar, Auwal Bala
Ibrahim, Abdulkarim Hassan
Yusuf, Umar Batsari
Kumam, Poom
Aremu, Kazeem Olalekan
Author_xml – sequence: 1
  givenname: Abdulkarim Hassan
  surname: Ibrahim
  fullname: Ibrahim, Abdulkarim Hassan
  organization: KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
– sequence: 2
  givenname: Poom
  surname: Kumam
  fullname: Kumam, Poom
  organization: KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand, Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
– sequence: 3
  givenname: Auwal Bala
  surname: Abubakar
  fullname: Abubakar, Auwal Bala
  organization: Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand, Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University, Kano. Kano, Nigeria
– sequence: 4
  givenname: Umar Batsari
  surname: Yusuf
  fullname: Yusuf, Umar Batsari
  organization: Department of Mathematics and Statistics, College of Science and Technology, Hassan Usman Katsina Polytechnic, Dutsin-Ma Road, Katsina, Nigeria
– sequence: 5
  givenname: Seifu Endris
  surname: Yimer
  fullname: Yimer, Seifu Endris
  organization: KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand, Department of Mathematics, College of Computation and Natural Science, Debre Berhan University, P. O. Box 445, Debre Berhan, Ethiopia
– sequence: 6
  givenname: Kazeem Olalekan
  surname: Aremu
  fullname: Aremu, Kazeem Olalekan
  organization: Department of Mathematics, Usmanu Danfodiyo University, Sokoto 840004, Nigeria
BookMark eNptUMtOwzAQtFCRKKU3PsAfQIrtOE5zrCoelSpxgbO1sTepqzQujjnw9zgtSAhx2R2tZkczc00mve-RkFvOFnmVy_sDxN1CMMEZVxdkKmSZZ6paLie_8BWZD8OescQSUpRyStyqp9g0zjjsI20D2BFkTUCkx-D3aKLzPYWu9cHF3YE2PlDj-yEGcD1amlx0CUCg-P4BI3mg0FvqDtAiDThEH07nG3LZQDfg_HvPyNvjw-v6Odu-PG3Wq21mpJQx42UhOOZ5biTWRS1U1VhlLUBlsJZGcVYpVdeFNRyRlVwyLBEqlJIZyC3LZ2Rz1rUe9voYkpHwqT04fTr40GoI0ZkOdVVKIRgoXiglJcglJk3kok6jFktIWuKsZYIfhoCNNi6e0ozxO82ZHrvXY_f6u_v0dPfn6cfEv_QvpwOK2w
CitedBy_id crossref_primary_10_1016_j_cam_2024_115857
crossref_primary_10_3390_sym15061203
crossref_primary_10_1016_j_asej_2020_11_009
crossref_primary_10_1016_j_sciaf_2021_e00880
crossref_primary_10_1016_j_cam_2024_115916
crossref_primary_10_1109_ACCESS_2021_3053141
crossref_primary_10_1109_ACCESS_2021_3091906
crossref_primary_10_3934_jimo_2021173
crossref_primary_10_3934_naco_2021022
crossref_primary_10_2298_FIL2206011I
crossref_primary_10_1002_mma_8285
crossref_primary_10_1002_nla_2424
crossref_primary_10_1002_mma_9033
crossref_primary_10_1007_s13160_021_00462_2
crossref_primary_10_1007_s12190_020_01461_1
crossref_primary_10_1080_02331934_2021_2002326
crossref_primary_10_1080_09720502_2021_1960000
crossref_primary_10_3389_fams_2025_1477774
crossref_primary_10_1007_s40065_021_00313_5
crossref_primary_10_1007_s11075_023_01673_z
crossref_primary_10_1016_j_matcom_2021_07_005
crossref_primary_10_1155_2021_5549878
crossref_primary_10_1016_j_apnum_2022_03_001
crossref_primary_10_1080_00207160_2021_1946043
Cites_doi 10.1080/02331934.2017.1372438
10.6028/jres.049.044
10.5539/mas.v14n5p86
10.1016/S0377-0427(00)00540-9
10.1002/cpa.20042
10.1090/S0025-5718-06-01840-0
10.1093/comjnl/7.2.149
10.1080/00207160.2020.1777406
10.1090/S0025-5718-1974-0343581-1
10.1137/080716542
10.1007/s11075-018-0603-2
10.1007/s00245-001-0003-0
10.1016/j.heliyon.2020.e03466
10.1137/S0363012997317475
10.1137/S1052623499354242
10.3390/math8050818
10.3390/math8101793
10.1137/0801015
10.1016/j.csda.2006.11.006
10.1080/10556789508805619
10.1016/j.cam.2016.09.014
10.1007/s11075-017-0299-8
10.1016/j.apnum.2009.04.004
10.1137/S1052623497318992
10.1007/BF00940464
10.1007/s11760-014-0639-2
10.3390/math7080745
10.1109/ACCESS.2020.3020969
10.1016/j.camwa.2015.09.014
10.1016/0041-5553(69)90035-4
10.1016/j.apnum.2019.08.022
10.1016/j.jmaa.2013.04.017
10.1016/0096-3003(87)90076-2
10.1051/m2an/196903R100351
10.1007/s101070100263
10.1145/78928.78930
10.3934/naco.2011.1.71
10.1007/s10473-019-0117-6
ContentType Journal Article
DBID AAYXX
CITATION
DOA
DOI 10.3934/math.2021016
DatabaseName CrossRef
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
DatabaseTitleList
CrossRef
Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 2473-6988
EndPage 260
ExternalDocumentID oai_doaj_org_article_974220a6156644a48e1eee12bee1b28a
10_3934_math_2021016
GroupedDBID AAYXX
ADBBV
ALMA_UNASSIGNED_HOLDINGS
AMVHM
BCNDV
CITATION
EBS
FRJ
GROUPED_DOAJ
IAO
ITC
M~E
OK1
RAN
ID FETCH-LOGICAL-c444t-17521e333c4eb5b269fd6ddaa9ceb4c610966bb5dc1ee07140e7ea9e440ca3d03
IEDL.DBID DOA
ISSN 2473-6988
IngestDate Wed Aug 27 01:27:31 EDT 2025
Thu Apr 24 23:08:02 EDT 2025
Tue Jul 01 03:56:46 EDT 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 1
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c444t-17521e333c4eb5b269fd6ddaa9ceb4c610966bb5dc1ee07140e7ea9e440ca3d03
OpenAccessLink https://doaj.org/article/974220a6156644a48e1eee12bee1b28a
PageCount 26
ParticipantIDs doaj_primary_oai_doaj_org_article_974220a6156644a48e1eee12bee1b28a
crossref_citationtrail_10_3934_math_2021016
crossref_primary_10_3934_math_2021016
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2021-01-01
PublicationDateYYYYMMDD 2021-01-01
PublicationDate_xml – month: 01
  year: 2021
  text: 2021-01-01
  day: 01
PublicationDecade 2020
PublicationTitle AIMS mathematics
PublicationYear 2021
Publisher AIMS Press
Publisher_xml – name: AIMS Press
References key-10.3934/math.2021016-21
key-10.3934/math.2021016-43
key-10.3934/math.2021016-20
key-10.3934/math.2021016-42
key-10.3934/math.2021016-41
key-10.3934/math.2021016-40
key-10.3934/math.2021016-25
key-10.3934/math.2021016-24
key-10.3934/math.2021016-23
key-10.3934/math.2021016-22
key-10.3934/math.2021016-44
key-10.3934/math.2021016-29
key-10.3934/math.2021016-28
key-10.3934/math.2021016-27
key-10.3934/math.2021016-26
key-10.3934/math.2021016-8
key-10.3934/math.2021016-9
key-10.3934/math.2021016-6
key-10.3934/math.2021016-7
key-10.3934/math.2021016-4
key-10.3934/math.2021016-5
key-10.3934/math.2021016-10
key-10.3934/math.2021016-32
key-10.3934/math.2021016-31
key-10.3934/math.2021016-30
key-10.3934/math.2021016-14
key-10.3934/math.2021016-36
key-10.3934/math.2021016-13
key-10.3934/math.2021016-35
key-10.3934/math.2021016-12
key-10.3934/math.2021016-34
key-10.3934/math.2021016-11
key-10.3934/math.2021016-33
key-10.3934/math.2021016-2
key-10.3934/math.2021016-18
key-10.3934/math.2021016-3
key-10.3934/math.2021016-17
key-10.3934/math.2021016-39
key-10.3934/math.2021016-16
key-10.3934/math.2021016-38
key-10.3934/math.2021016-1
key-10.3934/math.2021016-15
key-10.3934/math.2021016-37
key-10.3934/math.2021016-19
References_xml – ident: key-10.3934/math.2021016-35
  doi: 10.1080/02331934.2017.1372438
– ident: key-10.3934/math.2021016-18
  doi: 10.6028/jres.049.044
– ident: key-10.3934/math.2021016-42
  doi: 10.5539/mas.v14n5p86
– ident: key-10.3934/math.2021016-24
  doi: 10.1016/S0377-0427(00)00540-9
– ident: key-10.3934/math.2021016-36
  doi: 10.1002/cpa.20042
– ident: key-10.3934/math.2021016-31
  doi: 10.1090/S0025-5718-06-01840-0
– ident: key-10.3934/math.2021016-15
  doi: 10.1093/comjnl/7.2.149
– ident: key-10.3934/math.2021016-6
  doi: 10.1080/00207160.2020.1777406
– ident: key-10.3934/math.2021016-14
  doi: 10.1090/S0025-5718-1974-0343581-1
– ident: key-10.3934/math.2021016-37
  doi: 10.1137/080716542
– ident: key-10.3934/math.2021016-43
– ident: key-10.3934/math.2021016-4
  doi: 10.1007/s11075-018-0603-2
– ident: key-10.3934/math.2021016-26
  doi: 10.1007/s00245-001-0003-0
– ident: key-10.3934/math.2021016-23
  doi: 10.1016/j.heliyon.2020.e03466
– ident: key-10.3934/math.2021016-1
  doi: 10.1137/S0363012997317475
– ident: key-10.3934/math.2021016-25
  doi: 10.1137/S1052623499354242
– ident: key-10.3934/math.2021016-40
  doi: 10.3390/math8050818
– ident: key-10.3934/math.2021016-41
  doi: 10.3390/math8101793
– ident: key-10.3934/math.2021016-33
  doi: 10.1137/0801015
– ident: key-10.3934/math.2021016-38
– ident: key-10.3934/math.2021016-12
  doi: 10.1016/j.csda.2006.11.006
– ident: key-10.3934/math.2021016-13
  doi: 10.1080/10556789508805619
– ident: key-10.3934/math.2021016-39
  doi: 10.1016/j.cam.2016.09.014
– ident: key-10.3934/math.2021016-32
  doi: 10.1007/s11075-017-0299-8
– ident: key-10.3934/math.2021016-34
  doi: 10.1016/j.apnum.2009.04.004
– ident: key-10.3934/math.2021016-17
  doi: 10.1137/S1052623497318992
– ident: key-10.3934/math.2021016-21
  doi: 10.1007/BF00940464
– ident: key-10.3934/math.2021016-44
  doi: 10.1007/s11760-014-0639-2
– ident: key-10.3934/math.2021016-30
  doi: 10.3390/math7080745
– ident: key-10.3934/math.2021016-8
  doi: 10.1109/ACCESS.2020.3020969
– ident: key-10.3934/math.2021016-3
  doi: 10.1016/j.camwa.2015.09.014
– ident: key-10.3934/math.2021016-20
  doi: 10.1016/0041-5553(69)90035-4
– ident: key-10.3934/math.2021016-27
  doi: 10.1016/j.apnum.2019.08.022
– ident: key-10.3934/math.2021016-2
  doi: 10.1016/j.jmaa.2013.04.017
– ident: key-10.3934/math.2021016-10
  doi: 10.1016/0096-3003(87)90076-2
– ident: key-10.3934/math.2021016-19
  doi: 10.1051/m2an/196903R100351
– ident: key-10.3934/math.2021016-7
– ident: key-10.3934/math.2021016-16
– ident: key-10.3934/math.2021016-9
– ident: key-10.3934/math.2021016-29
  doi: 10.1007/s101070100263
– ident: key-10.3934/math.2021016-11
  doi: 10.1145/78928.78930
– ident: key-10.3934/math.2021016-28
  doi: 10.3934/naco.2011.1.71
– ident: key-10.3934/math.2021016-5
– ident: key-10.3934/math.2021016-22
  doi: 10.1007/s10473-019-0117-6
SSID ssj0002124274
Score 2.3044026
Snippet Motivated by the projection technique, in this paper, we introduce a new method for approximating the solution of nonlinear equations with convex constraints....
SourceID doaj
crossref
SourceType Open Website
Enrichment Source
Index Database
StartPage 235
SubjectTerms compressive sensing
conjugate gradient method
convex constrained
nonlinear equations
projection method
unconstrained optimization
Title An efficient gradient-free projection algorithm for constrained nonlinear equations and image restoration
URI https://doaj.org/article/974220a6156644a48e1eee12bee1b28a
Volume 6
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwELZQJxgQT1Fe8gATspo4jpOMBVFVSGWiUrfIj0up1AZIw__nLglVGRALSwbLcpzPju87-_wdYzdJmiU4E0DYMLFCycSLFM268IEpQtBaGk-3kSfPejxVT7N4tpXqi2LCWnngFrgB8l0pA6PJz1DKqBRCAAilxYeVaUON0OZtOVO0BuOCjO9VbaR7lEVqgPyPzh4keas_bNCWVH9jU0YHbL8jg3zYduKQ7UB5xPYmGyXV9TFbDEsOjcwDWgc-r5oIrVoUFQDvdlEQWW6W8zd0819XHEkod0T6KPcDeF62Whim4vDRynqvuSk9X6xwJeFVk1imKT5h09Hjy8NYdOkRhFNK1QINvwwhiiKnwMZW6qzw2ntjMgdWOdJR19ra2DtEjO4pBZCAyUCpwJnIB9Ep62Ef4IxxAO1comOTaFD4D5vCIDOMnQvolNanfXb3DVjuOu1w-oxljj4EwZsTvHkHb5_dbmq_t5oZv9S7J-w3dUjpuinA8c-78c__Gv_z_2jkgu1Sn9qtlUvWq6tPuEKyUdvrZl59AbXV1OA
linkProvider Directory of Open Access Journals
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=An+efficient+gradient-free+projection+algorithm+for+constrained+nonlinear+equations+and+image+restoration&rft.jtitle=AIMS+mathematics&rft.au=Ibrahim%2C+Abdulkarim+Hassan&rft.au=Kumam%2C+Poom&rft.au=Abubakar%2C+Auwal+Bala&rft.au=Yusuf%2C+Umar+Batsari&rft.date=2021-01-01&rft.issn=2473-6988&rft.eissn=2473-6988&rft.volume=6&rft.issue=1&rft.spage=235&rft.epage=260&rft_id=info:doi/10.3934%2Fmath.2021016&rft.externalDBID=n%2Fa&rft.externalDocID=10_3934_math_2021016
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2473-6988&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2473-6988&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2473-6988&client=summon