On the Solution Existence of Convex Quadratic Programming Problems in Hilbert Spaces

We provide solution existence results for the convex quadratic programming problems in Hilbert spaces, which the constraint set is defined by finitely many convex quadratic inequalities. In order to obtain our results, we shall use either the properties of the Legendre form or the properties of the...

Full description

Saved in:
Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 20; no. 6; pp. 1417 - 1436
Main Authors Van Dong, Vu, Tam, Nguyen Nang
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.12.2016
Subjects
Coercivity
Existence theorems
Hilbert spaces
Objective functions
Quadratic programming
Topological compactness
Online AccessGet full text

Cover

Abstract We provide solution existence results for the convex quadratic programming problems in Hilbert spaces, which the constraint set is defined by finitely many convex quadratic inequalities. In order to obtain our results, we shall use either the properties of the Legendre form or the properties of the finite-rank operator. The existence results are established without requesting neither coercivity of the objective function nor compactness of the constraint set.
AbstractList We provide solution existence results for the convex quadratic programming problems in Hilbert spaces, which the constraint set is defined by finitely many convex quadratic inequalities. In order to obtain our results, we shall use either the properties of the Legendre form or the properties of the finite-rank operator. The existence results are established without requesting neither coercivity of the objective function nor compactness of the constraint set.
Author Tam, Nguyen Nang
Van Dong, Vu
Author_xml – sequence: 1
  givenname: Vu
  surname: Van Dong
  fullname: Van Dong, Vu
  organization: Phuc Yen College of Industry, Vietnam
– sequence: 2
  givenname: Nguyen Nang
  surname: Tam
  fullname: Tam, Nguyen Nang
  organization: Hanoi Pedagogical Institute 2, Hanoi, Vietnam
BookMark eNo9kMFOAjEURRuDiYB-gLsu3Qz2daadYWkIigkJGnDdtJ0WOmE6pC2Kfy8jxuQl9y3uuYszQgPfeYPQPZAJAGfkMTXthJLzAZ_wac6v0JBSWmS8YjBAQyC0zFhRlTdoFGNDCK048CHarDxOO4PX3f6YXOfx_ORiMl4b3Fk86_ynOeH3o6yDTE7jt9Btg2xb57f9r_amjdh5vHB7ZULC64PUJt6iayv30dz95Rh9PM83s0W2XL28zp6Wmc4ppEwprZg1BdFUU17zXFkraQXS1lpZqElNOCVSWsIrBVDYWubMsGnJWEWVsfkYwWVXhy7GYKw4BNfK8C2AiF8t4qxFUCJ6LaLXcmYeLkwTUxf-gSTdV9PKtOvbXEABZf4DWdBoUQ
CitedBy_id crossref_primary_10_1007_s10957_021_01967_z
crossref_primary_10_1007_s40306_017_0237_9
crossref_primary_10_1007_s40306_017_0221_4
crossref_primary_10_1080_02331934_2019_1614179
crossref_primary_10_11650_tjm_210303
crossref_primary_10_11650_tjm_200501
crossref_primary_10_11650_tjm_20_2016_6936
Cites_doi 10.2140/pjm.1951.1.525
10.1007/s10957-009-9563-y
10.1090/gsm/051
10.1201/9780203913017
10.1007/3-7643-7357-1
10.1287/moor.21.4.769
10.1007/978-1-4612-1394-9
10.1023/A:1008652705980
10.1007/s11590-011-0300-8
10.1007/b105061
10.11650/tjm.20.2016.6936
10.1023/A:1014813701864
10.1201/9781003072119-16
10.1007/bf02192208
10.1007/bf02936193
ContentType Journal Article
DBID AAYXX
CITATION
DOI 10.11650/tjm.20.2016.6936
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 2224-6851
EndPage 1436
ExternalDocumentID 10_11650_tjm_20_2016_6936
taiwjmath.20.6.1417
GroupedDBID -~X
123
29Q
2WC
AAFWJ
AAHSX
ABBHK
ABXSQ
ACHDO
ACIPV
ACMTB
ACTMH
ADULT
AEHFS
AELPN
AENEX
AEUPB
AFBOV
AFFOW
ALMA_UNASSIGNED_HOLDINGS
CAQNE
CRVLH
E3Z
EBS
ECEWR
EJD
FRP
JAAYA
JBMMH
JENOY
JHFFW
JKQEH
JLEZI
JLXEF
JMS
JPL
JSODD
JST
OK1
RBV
RPE
SA0
XSB
AAYXX
ADACV
CITATION
IPSME
ID FETCH-LOGICAL-c321t-bbcb5fe40c2c26d63bffa281afdcbf1d0d0620aaf068b114fda35e5975582bef3
ISSN 1027-5487
IngestDate Fri Aug 23 02:20:31 EDT 2024
Fri Feb 02 07:05:09 EST 2024
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 6
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c321t-bbcb5fe40c2c26d63bffa281afdcbf1d0d0620aaf068b114fda35e5975582bef3
OpenAccessLink https://doi.org/10.11650/tjm.20.2016.6936
PageCount 20
ParticipantIDs crossref_primary_10_11650_tjm_20_2016_6936
jstor_primary_taiwjmath_20_6_1417
PublicationCentury 2000
PublicationDate 2016-12-01
PublicationDateYYYYMMDD 2016-12-01
PublicationDate_xml – month: 12
  year: 2016
  text: 2016-12-01
  day: 01
PublicationDecade 2010
PublicationTitle Taiwanese journal of mathematics
PublicationYear 2016
Publisher Mathematical Society of the Republic of China
Publisher_xml – name: Mathematical Society of the Republic of China
References 11
12
13
14
15
16
17
18
19
1
2
3
4
5
6
7
8
9
10
References_xml – ident: 3
– ident: 9
  doi: 10.2140/pjm.1951.1.525
– ident: 8
  doi: 10.1007/s10957-009-9563-y
– ident: 1
  doi: 10.1090/gsm/051
– ident: 18
  doi: 10.1201/9780203913017
– ident: 12
  doi: 10.1007/3-7643-7357-1
– ident: 10
– ident: 14
– ident: 2
  doi: 10.1287/moor.21.4.769
– ident: 5
  doi: 10.1007/978-1-4612-1394-9
– ident: 15
  doi: 10.1023/A:1008652705980
– ident: 11
  doi: 10.1007/s11590-011-0300-8
– ident: 13
  doi: 10.1007/b105061
– ident: 7
  doi: 10.11650/tjm.20.2016.6936
– ident: 4
  doi: 10.1023/A:1014813701864
– ident: 6
– ident: 16
  doi: 10.1201/9781003072119-16
– ident: 17
  doi: 10.1007/bf02192208
– ident: 19
  doi: 10.1007/bf02936193
SSID ssj0028616
Score 2.1621506
Snippet We provide solution existence results for the convex quadratic programming problems in Hilbert spaces, which the constraint set is defined by finitely many...
SourceID crossref
jstor
SourceType Aggregation Database
Publisher
StartPage 1417
SubjectTerms Coercivity
Existence theorems
Hilbert spaces
Objective functions
Quadratic programming
Topological compactness
Title On the Solution Existence of Convex Quadratic Programming Problems in Hilbert Spaces
URI https://www.jstor.org/stable/taiwjmath.20.6.1417
Volume 20
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnZ3fS9xAEMeXer7og7RqqbaVLfjkEbvZTfaSx1auHAWraDx8C7ubXTnBKEeOnv71nclv5Qq1L-ESwhD2M9ns7H1nhpBDoUIRGDXyskAwL9Baezow3FMcG28rK2OB2cinv-TkKvh5HV53nenK7JJCH5unlXkl_0MVrgFXzJJ9BdnWKFyA38AXjkAYjv_E-KzSKDZbW8PxEqHhq4oiC9STL1G1mc3LsqznlRTrDjcHzqs-MqUYdjLDOlfF8PIB5Vn91WqiZr8VtqjsF5i4awu9dj3pa13vdDGcdt6W1L52s3i0OU7jN_0tBl_25BrVrAixq4ehTX_a5KznHnL1bAzLPxjD4hZT_lFGJ4-B_YrK1y--SK1OsIxQwEgKJlLOUjSRook1ss5HcYjR9sX3aRthR7Lsdds-b_03Npr4-vIpni1E-lrUcmWRvCVbdUhAv1V835E3Nt8mm6fdMO-Q5CyncEob0rQlTe8drUjTljTtkaYNaTrLaU2aVqR3ydWPcXIy8ep-GJ4R3C88rY0OnQ2Y4YbLTArtnOKRr1xmtPMzljHJmVKOyUhDnOsyJUILEWMYRlxbJ96TQX6f2w-EioDZLHRCGxHBqxpHTMk4ks4KxpxQ_h45agYnfajKnqR_hbFHvpTD195ZgHfeojfibRKiS3-0_xqDH8lG54afyKCYL-xnWPsV-qDk_QcxmFr4
link.rule.ids 315,786,790,27957,27958
linkProvider Project Euclid
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=On+the+Solution+Existence+of+Convex+Quadratic+Programming+Problems+in+Hilbert+Spaces&rft.jtitle=Taiwanese+journal+of+mathematics&rft.au=Dong%2C+Vu+Van&rft.au=Tam%2C+Nguyen+Nang&rft.date=2016-12-01&rft.issn=1027-5487&rft.volume=20&rft.issue=6&rft_id=info:doi/10.11650%2Ftjm.20.2016.6936&rft.externalDBID=n%2Fa&rft.externalDocID=10_11650_tjm_20_2016_6936
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1027-5487&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1027-5487&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1027-5487&client=summon