Constraint Qualifications and Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints

A very general optimization problem with a variational inequality constraint, inequality constraints, and an abstract constraint are studied. Fritz John type and Kuhn--Tucker type necessary optimality conditions involving Mordukhovich coderivatives are derived. Several constraint qualifications for...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:SIAM journal on optimization Jg. 10; H. 4; S. 943 - 962
1. Verfasser: Ye, J. J.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 2000
Schlagworte:
Inequality
Optimization
ISSN:1052-6234, 1095-7189
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract A very general optimization problem with a variational inequality constraint, inequality constraints, and an abstract constraint are studied. Fritz John type and Kuhn--Tucker type necessary optimality conditions involving Mordukhovich coderivatives are derived. Several constraint qualifications for the Kuhn--Tucker type necessary optimality conditions involving Mordukhovich coderivatives are introduced and their relationships are studied. Applications to bilevel programming problems are also given.
AbstractList A very general optimization problem with a variational inequality constraint, inequality constraints, and an abstract constraint are studied. Fritz John type and Kuhn--Tucker type necessary optimality conditions involving Mordukhovich coderivatives are derived. Several constraint qualifications for the Kuhn--Tucker type necessary optimality conditions involving Mordukhovich coderivatives are introduced and their relationships are studied. Applications to bilevel programming problems are also given.
Author Ye, J. J.
Author_xml – sequence: 1
  givenname: J. J.
  surname: Ye
  fullname: Ye, J. J.
BookMark eNp9UF1LwzAUDTLBbfoDfAu-V5OmSZpHGX4MhlP8wLeSpglmdO2WpMh88a-bruKDguThhnvOuffcMwGjpm00AKcYnWNM-MUjRjRlKclETrI8468HYIyRoAnHuRj1f5omPX4EJt6vEEK5YPkYfM7axgcnbRPgQydra6ySwcYmlE0F77TS3ku3g8tNsOuIhx2MksoOHNO6AbEfexW8d21Z67WH7za8wRfp7L4vazhv9Lb7GfC90x-DQyNrr0--6xQ8X189zW6TxfJmPrtcJCrlKCRM5YLiLF6kKywqksWHCFNGUUZQxmhFtEEcc1ZSrGklZVkaibgRRimSl2QKzoa5G9duO-1DsWo7F335QqSI85gGjSQ-kJRrvXfaFMqGvf_ebV1gVPRhF3_Cjkr8S7lxMS63-0fzBbfmhpA
CitedBy_id crossref_primary_10_1080_02331934_2012_696641
crossref_primary_10_1007_s10898_020_00907_x
crossref_primary_10_1080_02331930500342591
crossref_primary_10_1007_s11228_008_0095_7
crossref_primary_10_1137_S105262340138339
crossref_primary_10_1007_s10287_010_0123_6
crossref_primary_10_1080_1055678042000218966
crossref_primary_10_1137_100813415
crossref_primary_10_1137_16M1088752
crossref_primary_10_1007_s11228_009_0103_6
crossref_primary_10_1016_j_na_2011_08_054
crossref_primary_10_1007_s11228_010_0160_x
crossref_primary_10_1137_S0363012999361718
crossref_primary_10_1007_s10898_016_0413_9
crossref_primary_10_1023_B_SVAN_0000023398_73288_82
crossref_primary_10_1016_j_orl_2016_04_001
crossref_primary_10_1007_s10107_017_1146_3
crossref_primary_10_1137_17M114251X
crossref_primary_10_1007_s11228_023_00683_2
crossref_primary_10_1137_16M1055554
crossref_primary_10_1007_s11228_020_00570_0
crossref_primary_10_1287_moor_1100_0480
crossref_primary_10_1007_s10957_007_9216_y
crossref_primary_10_1287_moor_2021_1164
crossref_primary_10_1016_j_jmaa_2004_10_032
crossref_primary_10_1080_02331934_2017_1394296
crossref_primary_10_1137_090774975
crossref_primary_10_1137_120903221
crossref_primary_10_1080_02331934_2024_2358086
crossref_primary_10_1137_110852528
crossref_primary_10_1137_15M1013493
crossref_primary_10_1007_s10957_013_0493_3
crossref_primary_10_1137_130929783
crossref_primary_10_1007_s10479_017_2734_6
crossref_primary_10_1142_S0217595913500176
crossref_primary_10_1007_s10589_013_9575_2
crossref_primary_10_1007_s10898_017_0539_4
crossref_primary_10_1016_j_na_2009_11_015
crossref_primary_10_1137_100802487
crossref_primary_10_1287_moor_1110_0513
crossref_primary_10_1137_15M1037160
crossref_primary_10_1007_s11590_024_02115_y
crossref_primary_10_1007_s10957_012_9992_x
crossref_primary_10_1287_moor_1070_0262
crossref_primary_10_1007_s11228_013_0266_z
crossref_primary_10_1007_s10957_020_01706_w
crossref_primary_10_1007_s10107_017_1193_9
crossref_primary_10_1007_s11228_017_0412_0
crossref_primary_10_1007_s10957_012_0228_x
crossref_primary_10_1016_j_ejor_2012_11_005
crossref_primary_10_1080_02331934_2015_1107560
crossref_primary_10_1007_s11228_012_0220_5
crossref_primary_10_1007_s40305_018_0225_3
crossref_primary_10_1007_s11228_006_0033_5
crossref_primary_10_1287_moor_2014_0667
crossref_primary_10_1007_s10107_012_0553_8
crossref_primary_10_1007_s10107_016_0986_6
crossref_primary_10_1109_LRA_2018_2800085
crossref_primary_10_1080_02331934_2014_987776
crossref_primary_10_1016_j_jmaa_2018_11_063
crossref_primary_10_1137_080725088
crossref_primary_10_1137_130914449
crossref_primary_10_1016_S1007_5704_03_00109_6
crossref_primary_10_1007_s10957_012_0084_8
crossref_primary_10_1080_02331934_2014_979819
crossref_primary_10_1080_02331934_2018_1539482
crossref_primary_10_1137_090766413
crossref_primary_10_1007_s11228_014_0278_3
crossref_primary_10_1016_j_jmaa_2005_02_011
crossref_primary_10_1007_s11228_013_0250_7
crossref_primary_10_1007_BF02579056
crossref_primary_10_1007_s00186_006_0076_2
crossref_primary_10_1007_s10107_013_0735_z
crossref_primary_10_1137_120891216
crossref_primary_10_1007_s10107_004_0509_8
crossref_primary_10_1080_02331930600816189
crossref_primary_10_1016_j_na_2011_11_003
crossref_primary_10_1137_120868657
crossref_primary_10_1007_s10107_013_0711_7
crossref_primary_10_1016_j_na_2011_05_097
crossref_primary_10_1137_07068463x
crossref_primary_10_1016_j_na_2006_05_021
crossref_primary_10_1080_00036811_2022_2040993
crossref_primary_10_1137_S1052623400371557
crossref_primary_10_1007_s10107_016_1027_1
crossref_primary_10_1080_02331934_2017_1387547
crossref_primary_10_1080_00036811_2010_495339
crossref_primary_10_1137_18M1232498
crossref_primary_10_1287_moor_1060_0219
crossref_primary_10_1137_090748974
Cites_doi 10.1007/BF02193099
10.1287/moor.24.3.627
10.1016/S0167-6377(99)00052-8
10.1137/S1052623495284029
10.6028/jres.049.027
10.1016/0362-546X(94)90033-7
10.4153/CJM-1993-065-x
10.2307/2154734
10.1007/BFb0120929
10.1137/0712056
10.1137/S1052623496309296
10.1287/moor.5.1.43
10.1287/moor.9.1.87
10.1090/crmp/002
10.1006/jmaa.1994.1144
10.1090/S0002-9939-96-03049-3
10.1287/moor.22.4.977
10.1016/0021-8928(76)90136-2
10.1080/02331939508844060
10.1137/S1052623493257344
10.1137/S1052623497321882
ContentType Journal Article
Copyright [Copyright] © 2000 Society for Industrial and Applied Mathematics
Copyright_xml – notice: [Copyright] © 2000 Society for Industrial and Applied Mathematics
DBID AAYXX
CITATION
3V.
7RQ
7WY
7WZ
7X2
7XB
87Z
88A
88F
88I
88K
8AL
8FE
8FG
8FH
8FK
8FL
8G5
ABJCF
ABUWG
AFKRA
ARAPS
ATCPS
AZQEC
BBNVY
BENPR
BEZIV
BGLVJ
BHPHI
CCPQU
D1I
DWQXO
FRNLG
F~G
GNUQQ
GUQSH
HCIFZ
JQ2
K60
K6~
K7-
KB.
L.-
L6V
LK8
M0C
M0K
M0N
M1Q
M2O
M2P
M2T
M7P
M7S
MBDVC
P5Z
P62
PATMY
PDBOC
PHGZM
PHGZT
PKEHL
PQBIZ
PQBZA
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
PYCSY
Q9U
U9A
DOI 10.1137/S105262349834847X
DatabaseName CrossRef
ProQuest Central (Corporate)
Career & Technical Education Database
ABI/INFORM Collection
ABI/INFORM Global (PDF only)
Agricultural Science Collection
ProQuest Central (purchase pre-March 2016)
ABI/INFORM Collection
Biology Database (Alumni Edition)
Military Database (Alumni Edition)
Science Database (Alumni Edition)
Telecommunications (Alumni Edition)
Computing Database (Alumni Edition)
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Natural Science Collection
ProQuest Central (Alumni) (purchase pre-March 2016)
ABI/INFORM Collection (Alumni Edition)
ProQuest Research Library
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
Advanced Technologies & Computer Science Collection
Agricultural & Environmental Science Collection
ProQuest Central Essentials
Biological Science Collection
AUTh Library subscriptions: ProQuest Central
Business Premium Collection
Technology collection
Natural Science Collection
ProQuest One
ProQuest Materials Science Collection
ProQuest Central
Business Premium Collection (Alumni)
ABI/INFORM Global (Corporate)
ProQuest Central Student
Research Library Prep
SciTech Premium Collection
ProQuest Computer Science Collection
ProQuest Business Collection (Alumni Edition)
ProQuest Business Collection
Computer Science Database
Materials Science Database
ABI/INFORM Professional Advanced
ProQuest Engineering Collection
Biological Sciences
ABI/INFORM Global
Agricultural Science Database
Computing Database
Military Database
ProQuest Research Library
Science Database
Telecommunications Database
ProQuest Biological Science
Engineering Database
Research Library (Corporate)
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
Environmental Science Database
Materials Science Collection
ProQuest Central Premium
ProQuest One Academic
ProQuest One Academic Middle East (New)
ProQuest One Business (OCUL)
ProQuest One Business (Alumni)
ProQuest One Academic Eastern Edition (DO NOT USE)
One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
Environmental Science Collection
ProQuest Central Basic
DatabaseTitle CrossRef
Agricultural Science Database
ProQuest Business Collection (Alumni Edition)
Research Library Prep
Computer Science Database
ProQuest Central Student
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Computer Science Collection
SciTech Premium Collection
ProQuest Military Collection
ProQuest Central China
ABI/INFORM Complete
ProQuest Telecommunications
ProQuest One Applied & Life Sciences
Natural Science Collection
Biological Science Collection
ProQuest Central (New)
Engineering Collection
Career and Technical Education (Alumni Edition)
Advanced Technologies & Aerospace Collection
Business Premium Collection
ABI/INFORM Global
Engineering Database
ProQuest Science Journals (Alumni Edition)
ProQuest Biological Science Collection
ProQuest One Academic Eastern Edition
Agricultural Science Collection
ProQuest Technology Collection
ProQuest Telecommunications (Alumni Edition)
Biological Science Database
ProQuest Business Collection
Environmental Science Collection
ProQuest Career and Technical Education
ProQuest One Academic UKI Edition
Environmental Science Database
ProQuest One Academic
ProQuest One Academic (New)
ABI/INFORM Global (Corporate)
ProQuest One Business
Technology Collection
ProQuest One Academic Middle East (New)
Materials Science Collection
ProQuest Central (Alumni Edition)
ProQuest One Community College
Research Library (Alumni Edition)
ProQuest Natural Science Collection
ProQuest Biology Journals (Alumni Edition)
ProQuest Central
ABI/INFORM Professional Advanced
ProQuest Engineering Collection
ProQuest Central Korea
Agricultural & Environmental Science Collection
Materials Science Database
ProQuest Research Library
ABI/INFORM Complete (Alumni Edition)
ProQuest Materials Science Collection
ProQuest Computing
ABI/INFORM Global (Alumni Edition)
ProQuest Central Basic
ProQuest Science Journals
ProQuest Computing (Alumni Edition)
ProQuest Military Collection (Alumni Edition)
ProQuest SciTech Collection
Advanced Technologies & Aerospace Database
Materials Science & Engineering Collection
ProQuest One Business (Alumni)
ProQuest Central (Alumni)
Business Premium Collection (Alumni)
DatabaseTitleList Agricultural Science Database
Database_xml – sequence: 1
  dbid: BENPR
  name: ProQuest Central
  url: https://www.proquest.com/central
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Mathematics
EISSN 1095-7189
EndPage 962
ExternalDocumentID 2582565211
10_1137_S105262349834847X
GroupedDBID -~X
.4S
.DC
123
4.4
7RQ
7WY
7X2
7XC
88I
8CJ
8FE
8FG
8FH
8FL
8G5
8V8
AALVN
AASXH
AAYXX
ABDBF
ABDPE
ABJCF
ABKAD
ABMZU
ABUWG
ACGFO
ACGOD
ACIWK
ACPRK
ACUHS
ADBBV
AEMOZ
AENEX
AFFHD
AFFNX
AFKRA
AFRAH
AHQJS
AKVCP
ALMA_UNASSIGNED_HOLDINGS
ANXRF
ARAPS
ARCSS
ATCPS
AZQEC
BBNVY
BENPR
BEZIV
BGLVJ
BHPHI
BPHCQ
CCPQU
CITATION
CS3
CZ9
D1I
D1J
D1K
DQ2
DU5
DWQXO
EAP
EBR
EBS
EBU
EDO
EJD
EMK
EST
ESX
F5P
FRNLG
GNUQQ
GUQSH
H13
HCIFZ
H~9
I-F
K1G
K6-
K60
K6V
K6~
K7-
KB.
KC.
L6V
LK5
LK8
M0C
M0K
M1Q
M2O
M2P
M7P
M7R
M7S
P1Q
P2P
P62
PATMY
PDBOC
PHGZM
PHGZT
PQBIZ
PQBZA
PQGLB
PQQKQ
PROAC
PTHSS
PYCSY
RJG
RNS
RSI
TH9
TN5
TUS
TWZ
YNT
3V.
7XB
88A
88K
8AL
8FK
JQ2
L.-
M0N
M2T
MBDVC
PKEHL
PQEST
PQUKI
PRINS
Q9U
U9A
ID FETCH-LOGICAL-c270t-6c89514109ed19d34343036cfc5630465d3ef07176b51e5daabbfa07f9fcc38b3
IEDL.DBID M0C
ISICitedReferencesCount 113
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000088375800001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1052-6234
IngestDate Wed Aug 13 09:22:31 EDT 2025
Sat Nov 29 06:10:54 EST 2025
Tue Nov 18 20:54:38 EST 2025
IsPeerReviewed true
IsScholarly true
Issue 4
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c270t-6c89514109ed19d34343036cfc5630465d3ef07176b51e5daabbfa07f9fcc38b3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
content type line 14
PQID 920778965
PQPubID 666300
PageCount 20
ParticipantIDs proquest_journals_920778965
crossref_citationtrail_10_1137_S105262349834847X
crossref_primary_10_1137_S105262349834847X
PublicationCentury 2000
PublicationDate 2000-00-00
PublicationDateYYYYMMDD 2000-01-01
PublicationDate_xml – year: 2000
  text: 2000-00-00
PublicationDecade 2000
PublicationPlace Philadelphia
PublicationPlace_xml – name: Philadelphia
PublicationTitle SIAM journal on optimization
PublicationYear 2000
Publisher Society for Industrial and Applied Mathematics
Publisher_xml – name: Society for Industrial and Applied Mathematics
References Mordukhovich B. S. (R12) 1980; 22
R5
R6
R7
R8
Loewen Philip (R9) 1993
R10
R21
R20
R23
R11
R22
R14
R25
R13
R24
R16
R27
Clarke F. (R4) 1998
R15
R26
R18
R17
R1
References_xml – ident: R13
– ident: R8
  doi: 10.1007/BF02193099
– ident: R18
  doi: 10.1287/moor.24.3.627
– ident: R10
  doi: 10.1016/S0167-6377(99)00052-8
– ident: R6
  doi: 10.1137/S1052623495284029
– ident: R7
  doi: 10.6028/jres.049.027
– ident: R15
  doi: 10.1016/0362-546X(94)90033-7
– ident: R5
  doi: 10.4153/CJM-1993-065-x
– ident: R16
  doi: 10.2307/2154734
– ident: R23
  doi: 10.1007/BFb0120929
– volume: 22
  start-page: 526
  issn: 0197-6788
  year: 1980
  ident: R12
  publication-title: Soviet Math. Dokl.
– ident: R21
  doi: 10.1137/0712056
– ident: R20
  doi: 10.1137/S1052623496309296
– ident: R22
  doi: 10.1287/moor.5.1.43
– ident: R1
  doi: 10.1287/moor.9.1.87
– volume-title: Nonsmooth analysis and control theory
  year: 1998
  ident: R4
– volume-title: Optimal control via nonsmooth analysis
  year: 1993
  ident: R9
  doi: 10.1090/crmp/002
– ident: R14
  doi: 10.1006/jmaa.1994.1144
– ident: R17
  doi: 10.1090/S0002-9939-96-03049-3
– ident: R26
  doi: 10.1287/moor.22.4.977
– ident: R11
  doi: 10.1016/0021-8928(76)90136-2
– ident: R24
  doi: 10.1080/02331939508844060
– ident: R27
  doi: 10.1137/S1052623493257344
– ident: R25
  doi: 10.1137/S1052623497321882
SSID ssj0008968
Score 1.9275371
Snippet A very general optimization problem with a variational inequality constraint, inequality constraints, and an abstract constraint are studied. Fritz John type...
SourceID proquest
crossref
SourceType Aggregation Database
Enrichment Source
Index Database
StartPage 943
SubjectTerms Inequality
Optimization
Title Constraint Qualifications and Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
URI https://www.proquest.com/docview/920778965
Volume 10
WOSCitedRecordID wos000088375800001&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: PRVPQU
  databaseName: ABI/INFORM Collection
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: 7WY
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/abicomplete
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ABI/INFORM global
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M0C
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/abiglobal
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Agricultural Science Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M0K
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/agriculturejournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Career & Technical Education Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: 7RQ
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/career
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Computer Science Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: K7-
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/compscijour
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Engineering Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M7S
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: http://search.proquest.com
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Environmental Science Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: PATMY
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/environmentalscience
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Materials Science Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: KB.
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/materialsscijournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Military Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M1Q
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/military
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest advanced technologies & aerospace journals
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: P5Z
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/hightechjournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Biological Science
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M7P
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/biologicalscijournals
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: BENPR
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Research Library
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M2O
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/pqrl
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Science Database
  customDbUrl:
  eissn: 1095-7189
  dateEnd: 20140731
  omitProxy: false
  ssIdentifier: ssj0008968
  issn: 1052-6234
  databaseCode: M2P
  dateStart: 19910201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/sciencejournals
  providerName: ProQuest
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1Lb9QwEB7RlgMcyluUwsoHTkimzsNxfKpo1Yqq3W1oCyxcIsd2JCRIy2ZbiRN_nRnHu6Kq1Esvo8SPxNLYM-Ox5xuAt1K3jcN1w1E6tjwvBS6ppnBcmabQQYv7kLXkSE0m5XSqq3g3p4_XKhcyMQhqd27JR76lU6FUqQu5ffGbU9IoOlyNGTRWYI0MG4LOH4vdpSDG1kMknEw5avk8Hmommdo6pUIq02WWo4CeXldL16VyUDX7j-44yMewHm1M9mGYFE_gnu-ewsP_kAfxbbyEa-2fwV9K2xmSRcxZANVoF548ZjrHJp5iCczsDztGAfMrWO4Mu7jhuhdDu3eoiTGdrBqy1PSMvLzsC27Ho8uRHXR-COMMH4j_7J_D5_29s92PPGZm4DZVYs4LW6JllidCe5dol1F4KjLbtpbgxvJCusy3tFMsGpl46YxpmtYI1erW2qxsshew2p13_iUwl1kjpfcErJYrjfakcUqj0hSmFKkpN0AsGFPbCFtOg_tZh-1LpuobvNyAd8suFwNmx22NNxesrOPy7eslH1_dWrsJD4bIfPLIvIbV-ezSv4H79mr-o5-NYEWdfCL69dsI1nb2JtUJvh0qTnTn_ShM1kAPiSbUdpweB1oFekZUhWd1irSS3_8BzYD06A
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3NT9swFH-CgsR24BvRMYYPwAEpapov24cdEANR0ZZKFFROwbEdCWmEruk2cdpftP9xz45TgSZx48Axduw8Oc_vy36_B7Af8zxTuG88lI65FzEft1SWKI-KLOFWi2tbtaRL-302GvHBHPytc2HMtcpaJlpBrR6liZG3eOBTynhSX6C80E-_0T0rv3a-4b88CIKz0-HJuecqCHgyoP7USyRDCyJq-1yrNlehSaNEomQuDSxWlMQq1LnxaJIsbutYCZFlufBpznMpQ5aFOO_h-IdnilSZw1xXsWMeFphJAG3AwuB42LudiX6kr8q9iwMP7YrIHaO2Q9q6Mo2mjbMwQpUweqkIX-oBq9zOVt7ZsqzCsrOiyXHF9mswp4t1-PgMWxGfejNA2nID_pjCpLYcxpRY2JC8jlUSUSjS1yZbQkyeyCWK0AfrmxAcoqoLbQQt-6rHZa2SQVWHpyQmjk1uxOTeBVVJp9BVoqqdwH2z3ITrN1miLWgUj4XeBqJCKeJYawMdF1GOFrNQlKNZ4AvmB4I1wa8ZIZUOmN0Q9z21DlpI0_94pwlHsyHjCpXktZd3atZJnYAq0xnffHq1dw-Wzoe9btrt9C924EOFQ2DiT5-hMZ381LuwKH9N78vJF7cVCNy9Nef9A52zRkQ
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=Constraint+Qualifications+and+Necessary+Optimality+Conditions+for+Optimization+Problems+with+Variational+Inequality+Constraints&rft.jtitle=SIAM+journal+on+optimization&rft.au=Ye%2C+J.+J&rft.date=2000&rft.pub=Society+for+Industrial+and+Applied+Mathematics&rft.issn=1052-6234&rft.eissn=1095-7189&rft.volume=10&rft.issue=4&rft.spage=943&rft_id=info:doi/10.1137%2FS105262349834847X&rft.externalDocID=2582565211
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1052-6234&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1052-6234&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1052-6234&client=summon