Nonlinear metric regularity on fixed sets

The aim of this paper is to study some new models of nonlinear regularity on fixed sets of set-valued mappings defined on the complete metric spaces. Slope and coderivative characterizations of these models are given. The stability of the Milyutin regularity is investigated when the initial set-valu...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Optimization Ročník 72; číslo 6; s. 1515 - 1548
Hlavní autoři: Tron, Nguyen Huu, Han, Dao Ngoc, Ngai, Huynh Van
Médium: Journal Article
Jazyk:angličtina
Vydáno: Philadelphia Taylor & Francis 03.06.2023
Taylor & Francis LLC
Témata:
coderivative
Metric space
Milyutin regularity
Nonlinear regularity
perturbation stability
Regularity
slope
ISSN:0233-1934, 1029-4945
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract The aim of this paper is to study some new models of nonlinear regularity on fixed sets of set-valued mappings defined on the complete metric spaces. Slope and coderivative characterizations of these models are given. The stability of the Milyutin regularity is investigated when the initial set-valued mapping is perturbed by a suitable Lipschitz single-valued map.
AbstractList The aim of this paper is to study some new models of nonlinear regularity on fixed sets of set-valued mappings defined on the complete metric spaces. Slope and coderivative characterizations of these models are given. The stability of the Milyutin regularity is investigated when the initial set-valued mapping is perturbed by a suitable Lipschitz single-valued map.
Author Tron, Nguyen Huu
Han, Dao Ngoc
Ngai, Huynh Van
Author_xml – sequence: 1
  givenname: Nguyen Huu
  surname: Tron
  fullname: Tron, Nguyen Huu
  email: nguyenhuutron@qnu.edu.vn
  organization: Department of Mathematics and Statistics, Quy Nhon University
– sequence: 2
  givenname: Dao Ngoc
  surname: Han
  fullname: Han, Dao Ngoc
  organization: Department of Mathematics and Statistics, Quy Nhon University
– sequence: 3
  givenname: Huynh Van
  surname: Ngai
  fullname: Ngai, Huynh Van
  organization: Department of Mathematics and Statistics, Quy Nhon University
BookMark eNqFkE1LAzEQQINUsK3-BGHBk4etk4_dZvGiFL-g6EXPIZvNSso2qZMU7b93l9aLB73MXN6bgTchIx-8JeScwoyChCtgnNOKixkDxvrBKZXyiIwpsCoXlShGZDww-QCdkEmMKwBGSybG5PI5-M55qzFb24TOZGjft51Gl3ZZ8FnrvmyTRZviKTludRft2WFPydv93eviMV--PDwtbpe54VymnHFDLVRz2VTagAbT1kXRUFPWGiwA503NbKlFwYUojbC1aLiQQsva8Eqyhk_Jxf7uBsPH1sakVmGLvn-pmKR8XrJe7aliTxkMMaJt1QbdWuNOUVBDFfVTRQ1V1KFK713_8oxLOrngE2rX_Wvf7G3n24Br_Rmwa1TSuy5gi9obFxX_-8Q3F3t7Rg
CitedBy_id crossref_primary_10_1080_02331934_2024_2311197
crossref_primary_10_1007_s11228_023_00680_5
Cites_doi 10.1007/s11228-015-0327-6
10.1007/978-3-642-02431-3
10.1007/s10957-013-0385-6
10.1007/978-3-319-64277-2
10.1007/978-94-009-2121-4
10.1080/02331934.2015.1066372
10.1137/110820981
10.1016/j.jmaa.2016.02.047
10.1007/s11228-015-0330-y
10.1007/3-540-31246-3
10.1007/s11228-012-0220-5
10.1016/j.jmaa.2016.02.016
10.1007/s10107-012-0598-8
10.1007/978-3-540-71333-3
10.1016/j.jmaa.2018.12.071
10.1007/s10107-013-0673-9
10.1017/S1446788715000695
10.1137/120864660
10.1016/s0294-1449(16)30300-6
10.1007/978-3-319-92775-6
10.1007/s10013-014-0100-4
10.1016/j.jmaa.2013.10.036
10.1007/s11228-017-0438-3
10.1016/0362-546X(89)90083-7
10.1007/s10898-015-0271-x
10.1007/BFb0120850
10.1007/s10013-019-00361-7
10.1287/moor.2016.0789
10.1137/15M1016345
10.1007/s11228-019-00507-2
10.1137/100792585
10.1007/s10107-007-0121-9
10.1007/978-1-4614-4538-8
10.1007/s10107-013-0665-9
10.1137/120891216
10.1007/s11228-020-00545-1
10.1016/S0362-546X(98)00031-5
10.1007/s11784-010-0021-0
10.1007/BF01445166
10.1080/02331938808843391
10.1017/S1446788715000701
10.1070/RM2000v055n03ABEH000292
10.1090/tran/8253
10.1137/140980612
10.1051/cocv:2004013
10.1137/16M1067342
10.1007/3-540-31247-1
10.1007/s11228-019-0504-0
10.1007/s11228-013-0266-z
10.1007/s11228-019-00522-3
10.1007/BFb0120989
10.1016/0022-247X(88)90034-0
10.1007/s10107-010-0401-7
10.1007/s10107-013-0670-z
10.1051/proc:2003004
10.1007/s10957-015-0807-8
10.1016/0022-247X(74)90025-0
10.1007/s10957-015-0797-6
10.1090/S0002-9947-1993-1156300-4
10.1007/s10589-013-9615-y
10.1007/BF01033643
ContentType Journal Article
Copyright 2022 Informa UK Limited, trading as Taylor & Francis Group 2022
2022 Informa UK Limited, trading as Taylor & Francis Group
Copyright_xml – notice: 2022 Informa UK Limited, trading as Taylor & Francis Group 2022
– notice: 2022 Informa UK Limited, trading as Taylor & Francis Group
DBID AAYXX
CITATION
7SC
7TB
8FD
FR3
H8D
JQ2
L7M
L~C
L~D
DOI 10.1080/02331934.2022.2031188
DatabaseName CrossRef
Computer and Information Systems Abstracts
Mechanical & Transportation Engineering Abstracts
Technology Research Database
Engineering Research Database
Aerospace Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Aerospace Database
Technology Research Database
Computer and Information Systems Abstracts – Academic
Mechanical & Transportation Engineering Abstracts
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Engineering Research Database
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts Professional
DatabaseTitleList
Aerospace Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1029-4945
EndPage 1548
ExternalDocumentID 10_1080_02331934_2022_2031188
2031188
Genre Research Article
GroupedDBID .7F
.DC
.QJ
0BK
0R~
123
29N
30N
4.4
5VS
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABFIM
ABHAV
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACGEJ
ACGFS
ACIWK
ACTIO
ADCVX
ADGTB
ADXPE
AEISY
AENEX
AEOZL
AEPSL
AEYOC
AFKVX
AFRVT
AGDLA
AGMYJ
AHDZW
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AMVHM
AQRUH
AQTUD
AVBZW
AWYRJ
BLEHA
CCCUG
CE4
CS3
DKSSO
DU5
EBS
E~A
E~B
GTTXZ
H13
HF~
HZ~
H~P
IPNFZ
J.P
KYCEM
LJTGL
M4Z
NA5
O9-
P2P
PQQKQ
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TDBHL
TEJ
TFL
TFT
TFW
TTHFI
TUROJ
TWF
UT5
UU3
ZGOLN
~S~
AAYXX
CITATION
7SC
7TB
8FD
FR3
H8D
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c338t-23c1e0978d9ac0a0cfb55d1c6ba0e0033db2e6a453446c4eb4d3484a8bc3982d3
IEDL.DBID TFW
ISICitedReferencesCount 3
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000752387100001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0233-1934
IngestDate Wed Aug 13 10:49:33 EDT 2025
Sat Nov 29 06:01:42 EST 2025
Tue Nov 18 21:32:28 EST 2025
Mon Oct 20 23:46:33 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 6
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c338t-23c1e0978d9ac0a0cfb55d1c6ba0e0033db2e6a453446c4eb4d3484a8bc3982d3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
PQID 2813762534
PQPubID 27961
PageCount 34
ParticipantIDs crossref_citationtrail_10_1080_02331934_2022_2031188
proquest_journals_2813762534
informaworld_taylorfrancis_310_1080_02331934_2022_2031188
crossref_primary_10_1080_02331934_2022_2031188
PublicationCentury 2000
PublicationDate 2023-06-03
PublicationDateYYYYMMDD 2023-06-03
PublicationDate_xml – month: 06
  year: 2023
  text: 2023-06-03
  day: 03
PublicationDecade 2020
PublicationPlace Philadelphia
PublicationPlace_xml – name: Philadelphia
PublicationTitle Optimization
PublicationYear 2023
Publisher Taylor & Francis
Taylor & Francis LLC
Publisher_xml – name: Taylor & Francis
– name: Taylor & Francis LLC
References Ivanov M (CIT0045) 2020; 27
CIT0030
Dmitruk AV (CIT0011) 1980; 35
CIT0032
CIT0031
CIT0034
CIT0033
Fabian M. (CIT0055) 1989; 30
CIT0070
Azé D. (CIT0007) 2006; 13
CIT0036
CIT0035
CIT0038
CIT0037
CIT0039
CIT0041
CIT0040
CIT0043
CIT0042
CIT0001
CIT0003
CIT0002
CIT0046
CIT0005
CIT0049
CIT0004
CIT0048
CIT0006
CIT0008
CIT0050
CIT0052
CIT0051
CIT0010
CIT0054
CIT0053
CIT0012
CIT0056
De Giorgi E (CIT0065) 1980; 68
Ngai HV (CIT0047) 2017; 24
CIT0014
CIT0058
CIT0013
CIT0057
CIT0016
CIT0015
CIT0059
CIT0018
CIT0017
CIT0019
CIT0061
Borwein JM (CIT0009) 2005
CIT0060
CIT0063
CIT0062
CIT0021
CIT0020
CIT0064
CIT0023
CIT0067
CIT0022
CIT0066
Cibulka R (CIT0044) 2020; 27
CIT0025
CIT0069
CIT0024
CIT0068
CIT0027
CIT0026
CIT0029
CIT0028
References_xml – ident: CIT0063
  doi: 10.1007/s11228-015-0327-6
– ident: CIT0037
  doi: 10.1007/978-3-642-02431-3
– ident: CIT0034
  doi: 10.1007/s10957-013-0385-6
– ident: CIT0003
  doi: 10.1007/978-3-319-64277-2
– ident: CIT0057
  doi: 10.1007/978-94-009-2121-4
– ident: CIT0059
  doi: 10.1080/02331934.2015.1066372
– ident: CIT0022
  doi: 10.1137/110820981
– volume: 13
  start-page: 225
  issue: 2
  year: 2006
  ident: CIT0007
  publication-title: J Convex Anal
– ident: CIT0042
  doi: 10.1016/j.jmaa.2016.02.047
– ident: CIT0029
  doi: 10.1007/s11228-015-0330-y
– ident: CIT0068
  doi: 10.1007/3-540-31246-3
– volume: 35
  start-page: 11
  issue: 6
  year: 1980
  ident: CIT0011
  publication-title: Uspekhi Mat Nauk
– ident: CIT0018
  doi: 10.1007/s11228-012-0220-5
– volume: 30
  start-page: 51
  year: 1989
  ident: CIT0055
  publication-title: Acta Univ Carolin
– ident: CIT0061
  doi: 10.1016/j.jmaa.2016.02.016
– ident: CIT0014
  doi: 10.1007/s10107-012-0598-8
– ident: CIT0038
  doi: 10.1007/978-3-540-71333-3
– ident: CIT0048
  doi: 10.1016/j.jmaa.2018.12.071
– ident: CIT0012
– ident: CIT0041
  doi: 10.1007/s10107-013-0673-9
– ident: CIT0025
  doi: 10.1017/S1446788715000695
– volume: 24
  start-page: 417
  issue: 2
  year: 2017
  ident: CIT0047
  publication-title: J Convex Anal
– ident: CIT0040
  doi: 10.1137/120864660
– ident: CIT0060
  doi: 10.1016/s0294-1449(16)30300-6
– ident: CIT0069
  doi: 10.1007/978-3-319-92775-6
– ident: CIT0064
  doi: 10.1007/s10013-014-0100-4
– ident: CIT0015
  doi: 10.1016/j.jmaa.2013.10.036
– ident: CIT0004
  doi: 10.1007/s11228-017-0438-3
– ident: CIT0035
  doi: 10.1016/0362-546X(89)90083-7
– ident: CIT0033
  doi: 10.1007/s10898-015-0271-x
– ident: CIT0001
  doi: 10.1007/BFb0120850
– volume: 27
  start-page: 381
  issue: 1
  year: 2020
  ident: CIT0045
  publication-title: J Convex Anal
– ident: CIT0070
  doi: 10.1007/s10013-019-00361-7
– ident: CIT0058
  doi: 10.1287/moor.2016.0789
– ident: CIT0039
  doi: 10.1137/15M1016345
– ident: CIT0062
  doi: 10.1007/s11228-019-00507-2
– ident: CIT0005
  doi: 10.1137/100792585
– ident: CIT0056
  doi: 10.1007/s10107-007-0121-9
– ident: CIT0036
  doi: 10.1007/978-1-4614-4538-8
– ident: CIT0016
  doi: 10.1007/s10107-013-0665-9
– ident: CIT0019
  doi: 10.1137/120891216
– ident: CIT0051
  doi: 10.1007/s11228-020-00545-1
– ident: CIT0067
  doi: 10.1016/S0362-546X(98)00031-5
– ident: CIT0021
  doi: 10.1007/s11784-010-0021-0
– ident: CIT0010
  doi: 10.1007/BF01445166
– ident: CIT0027
  doi: 10.1080/02331938808843391
– ident: CIT0024
  doi: 10.1017/S1446788715000701
– ident: CIT0026
  doi: 10.1070/RM2000v055n03ABEH000292
– ident: CIT0032
  doi: 10.1090/tran/8253
– ident: CIT0006
  doi: 10.1137/140980612
– ident: CIT0050
  doi: 10.1051/cocv:2004013
– ident: CIT0013
  doi: 10.1137/16M1067342
– ident: CIT0054
  doi: 10.1007/3-540-31247-1
– ident: CIT0030
  doi: 10.1007/s11228-019-0504-0
– volume-title: Techniques of variational analysis
  year: 2005
  ident: CIT0009
– ident: CIT0017
  doi: 10.1007/s11228-013-0266-z
– ident: CIT0052
  doi: 10.1007/s11228-019-00522-3
– ident: CIT0002
  doi: 10.1007/BFb0120989
– ident: CIT0008
  doi: 10.1016/0022-247X(88)90034-0
– ident: CIT0020
  doi: 10.1007/s10107-010-0401-7
– ident: CIT0023
  doi: 10.1007/s10107-013-0670-z
– ident: CIT0049
  doi: 10.1051/proc:2003004
– ident: CIT0028
  doi: 10.1007/s10957-015-0807-8
– ident: CIT0053
  doi: 10.1016/0022-247X(74)90025-0
– volume: 27
  start-page: 205
  issue: 2
  year: 2020
  ident: CIT0044
  publication-title: J Convex Anal
– ident: CIT0046
  doi: 10.1007/s10957-015-0797-6
– volume: 68
  start-page: 180
  year: 1980
  ident: CIT0065
  publication-title: Atti Accad Naz Lincei Rend Lincei Mat Appl
– ident: CIT0031
  doi: 10.1090/S0002-9947-1993-1156300-4
– ident: CIT0043
  doi: 10.1007/s10589-013-9615-y
– ident: CIT0066
  doi: 10.1007/BF01033643
SSID ssj0021624
Score 2.316311
Snippet The aim of this paper is to study some new models of nonlinear regularity on fixed sets of set-valued mappings defined on the complete metric spaces. Slope and...
SourceID proquest
crossref
informaworld
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1515
SubjectTerms coderivative
Metric space
Milyutin regularity
Nonlinear regularity
perturbation stability
Regularity
slope
Title Nonlinear metric regularity on fixed sets
URI https://www.tandfonline.com/doi/abs/10.1080/02331934.2022.2031188
https://www.proquest.com/docview/2813762534
Volume 72
WOSCitedRecordID wos000752387100001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAWR
  databaseName: Taylor and Francis Online Journals
  customDbUrl:
  eissn: 1029-4945
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0021624
  issn: 0233-1934
  databaseCode: TFW
  dateStart: 19850101
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8NAEF6keNCDb7FaJQcvHqJJdpPuHkUsHqR4qNpb2McECppKEsWf785mU1pEPOg9s4R5zzAzHyHnIJSEoS1LuM5kyNCkbBLLQ1MYLbhiOnKti6f74XjMp1Px4KcJaz9WiTV00R6KcL4ajVuqupuIu7JhxioOxY5IgrtU1CbJuO5rQz-a5mT0vCi54szB2iJFiCTdDs9Pr6xEp5Xbpd98tQtAo-1_-PUdsuWzz-C6VZddsgblHtlcukm4Ty7G7cOyCl4RbUsHlYOrR5C7YF4GxewTTFBDUx-Qx9Ht5OYu9HgKobaFaBMmVMeAextGSB3JSBcqTU2sMyUjQFA3oxLIpBWYrRE1A8UMZZxJrjQVPDH0kPTKeQlHJLDfQCoVEwaAsVTIlNMY0qFIta2RQPYJ6_iYa39sHDEvXvK4u0nqOZEjJ3LPiT65XJC9tdc2fiMQy0LKG9fmKFpMkpz-QjvoJJp7w63zhMfW5SaWBcd_ePqEbCAsvRspowPSa6p3OCXr-qOZ1dWZU9Ev1l_ekA
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8NAEF60CurBt1itmoMXD9Eku0l3jyKWirWnqr0t-woUNJUkij_fnU1SWkQ86D2zhHnPMDMfQueGSWG6tiyhKhE-AZOySSz1daoVo5KowLUungbd4ZCOx2x-FwbGKqGGTqtDEc5Xg3FDM7oZibuyccZqDoaWSATLVNhmyXQZrTh0OqvTo97zrOgKEwdsCyQ-0DRbPD89sxCfFq6XfvPWLgT1tv7j57fRZp2AeteVxuygJZPtoo25s4R76GJYvSxy7xUAt5SXO8R6wLnzppmXTj6N9gpTFvvosXc7uun7NaSCr2wtWvoRVqGB1Q3NhApEoFIZxzpUiRSBAVw3LSOTCCszWyYqYiTRmFAiqFSY0UjjA9TKppk5RJ79xsRCEqaNISRmIqY4NHGXxcqWSUa0EWkYyVV9bxxgL1542JwlrTnBgRO85kQbXc7I3qqDG78RsHkp8dJ1OtIKloTjX2g7jUh5bbsFj2hovW5kWXD0h6fP0Fp_9DDgg7vh_TFaB5R6N2GGO6hV5u_mBK2qj3JS5KdOX78AGOPivg
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8NAEF60iujBt1ifOXjxEG2ym3T3KGpQLKGHqr0t-woUNC1JFH--u5tNaRHpQe-ZJcx7hpn5ALhQhDPV1WUJFjHzkTEpncRiX2ZSEMyR6NjWxUuvm6Z4OCR9N01YurFKU0Nn9aEI66uNcU9k1kzEXeswoxUHmo5IaHapoE6S8TJY0alzbGxzkLxOa64gtri2hsQ3NM0Sz2_PzIWnueOlP5y1jUDJ1j_8-zbYdOmnd1Pryw5YUvku2Jg5SrgHLtP6YVZ47wZuS3iFxas3KHfeOPey0ZeSXqmqch88J_eD2wffASr4QleilR9CESizuCEJEx3WERmPIhmImLOOMqhukocqZlpiukgUSHEkIcKIYS4gwaGEB6CVj3N1CDz9jYoYR0QqhVBEWIRhoKIuiYQukhRrA9TwkQp3bdyAXrzRoDlK6jhBDSeo40QbXE3JJvW5jUUEZFZItLJ9jqwGJaFwAe1JI1HqLLekIQ60zw01C47-8PQ5WOvfJbT3mD4dg3UDUW_Hy-AJaFXFhzoFq-KzGpXFmdXWb1zS4Wc
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=Nonlinear+metric+regularity+on+fixed+sets&rft.jtitle=Optimization&rft.au=Tron%2C+Nguyen+Huu&rft.au=Han%2C+Dao+Ngoc&rft.au=Ngai%2C+Huynh+Van&rft.date=2023-06-03&rft.issn=0233-1934&rft.eissn=1029-4945&rft.volume=72&rft.issue=6&rft.spage=1515&rft.epage=1548&rft_id=info:doi/10.1080%2F02331934.2022.2031188&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_02331934_2022_2031188
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0233-1934&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0233-1934&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0233-1934&client=summon