Lagrange multiplier rules for weak approximate Pareto solutions to constrained vector optimization problems with variable ordering structures
In this paper, we consider the weak approximate solutions to constrained vector optimization problems with variable ordering structures. In terms of abstract subdifferentials, normal cones and coderivatives, we establish Lagrange rules for this kind of solutions.
Uloženo v:
| Vydáno v: | Optimization Ročník 71; číslo 7; s. 2131 - 2155 |
|---|---|
| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Philadelphia
Taylor & Francis
03.07.2022
Taylor & Francis LLC |
| Témata: | |
| 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 | In this paper, we consider the weak approximate solutions to constrained vector optimization problems with variable ordering structures. In terms of abstract subdifferentials, normal cones and coderivatives, we establish Lagrange rules for this kind of solutions. |
|---|---|
| AbstractList | In this paper, we consider the weak approximate solutions to constrained vector optimization problems with variable ordering structures. In terms of abstract subdifferentials, normal cones and coderivatives, we establish Lagrange rules for this kind of solutions. |
| Author | Hu, Chunhai Zhu, Jiangxing |
| Author_xml | – sequence: 1 givenname: Chunhai surname: Hu fullname: Hu, Chunhai organization: Yunnan University – sequence: 2 givenname: Jiangxing surname: Zhu fullname: Zhu, Jiangxing email: jxzhu@ynu.edu.cn organization: Yunnan University |
| BookMark | eNp9kM9O3DAQh60KJBbKIyBZ6jng2I6T3Fqh_kFaCQ5wtibJZGuaxOnYYYF36DvjaOmV02hGv2_G_k7Z0eQnZOwiF5e5qMSVkErltdKXUsg0qoqyLNQntsmFrDNd6-KIbdZMtoZO2GkIj0LI3Ei9Yf-2sCOYdsjHZYhuHhwSp2XAwHtPfI_wh8M8k392I0Tkd0AYPQ9-WKLzU-CpaVONBG7Cjj9hGxPn5-hG9wprhie6GXAMfO_ib_4E5CD13FOH5KYdT_DSxoUwfGbHPQwBz9_rGXv48f3--le2vf15c_1tm7WyMjFD0whAk37diAZE3RnVSDCmLxUUYEDnquqKUtedamvZNkrrAppeSIMS0ZTqjH057E1P-7tgiPbRLzSlk1aaSpe1KmSeUsUh1ZIPgbC3MyUL9GJzYVfz9r95u5q37-YT9_XAuSk5HGHvaehshJfBU59kty5Y9fGKN8dSkLc |
| Cites_doi | 10.1137/05062648X 10.1137/S0363012900374816 10.1007/s10898-013-0132-4 10.1007/s10013-014-0103-1 10.1007/s10898-007-9246-x 10.1080/02331934.2015.1040793 10.1080/02331934.2016.1152473 10.37193/CJM.2017.03.09 10.11650/tjm/180505 10.1007/s10957-007-9235-8 10.1007/s10957-013-0267-y 10.1137/100811155 10.1137/060651860 10.1007/BF00932614 10.1137/S1052623400366656 10.1007/s11228-014-0313-4 10.1007/s00186-006-0078-0 10.1007/s10957-018-1269-6 10.1007/978-3-319-64277-2 10.1007/s10107-008-0249-2 10.1070/RM2000v055n03ABEH000292 10.1137/S0363012999350821 10.1007/s10957-014-0535-5 10.1007/BF01720705 10.1080/02331934.2011.575939 10.1023/A:1008614315547 10.1080/02331934.2016.1172226 10.1137/S1052623496311697 10.1007/978-3-642-54283-1 10.1007/978-1-4684-8395-6 10.1007/s10957-013-0332-6 10.1007/s10957-012-0259-3 10.1007/s10898-014-0207-x 10.1007/s10898-018-0614-5 10.1007/s10013-017-0263-x 10.1137/S1052623402414701 10.1007/s10957-011-9928-x 10.1016/0362-546X(87)90073-3 10.1007/3-540-31247-1 |
| ContentType | Journal Article |
| Copyright | 2020 Informa UK Limited, trading as Taylor & Francis Group 2020 2020 Informa UK Limited, trading as Taylor & Francis Group |
| Copyright_xml | – notice: 2020 Informa UK Limited, trading as Taylor & Francis Group 2020 – notice: 2020 Informa UK Limited, trading as Taylor & Francis Group |
| DBID | AAYXX CITATION 7SC 7TB 8FD FR3 H8D JQ2 L7M L~C L~D |
| DOI | 10.1080/02331934.2020.1857753 |
| 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 | 2155 |
| ExternalDocumentID | 10_1080_02331934_2020_1857753 1857753 |
| 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-c286t-e6b0ae6331b0ba09d63b2a66f73a5a6a4138d5749d3c92cb3445abf026e2ee673 |
| IEDL.DBID | TFW |
| ISICitedReferencesCount | 0 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000598208000001&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 04:06:30 EDT 2025 Sat Nov 29 06:01:41 EST 2025 Mon Oct 20 23:47:07 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 7 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c286t-e6b0ae6331b0ba09d63b2a66f73a5a6a4138d5749d3c92cb3445abf026e2ee673 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| PQID | 2684793521 |
| PQPubID | 27961 |
| PageCount | 25 |
| ParticipantIDs | proquest_journals_2684793521 informaworld_taylorfrancis_310_1080_02331934_2020_1857753 crossref_primary_10_1080_02331934_2020_1857753 |
| PublicationCentury | 2000 |
| PublicationDate | 2022-07-03 |
| PublicationDateYYYYMMDD | 2022-07-03 |
| PublicationDate_xml | – month: 07 year: 2022 text: 2022-07-03 day: 03 |
| PublicationDecade | 2020 |
| PublicationPlace | Philadelphia |
| PublicationPlace_xml | – name: Philadelphia |
| PublicationTitle | Optimization |
| PublicationYear | 2022 |
| Publisher | Taylor & Francis Taylor & Francis LLC |
| Publisher_xml | – name: Taylor & Francis – name: Taylor & Francis LLC |
| References | CIT0010 Bao TQ (CIT0028) 2017; 24 CIT0031 CIT0012 CIT0034 CIT0011 CIT0033 CIT0014 CIT0036 CIT0013 CIT0035 CIT0016 CIT0038 CIT0015 CIT0037 CIT0018 CIT0017 CIT0019 CIT0041 CIT0040 CIT0043 CIT0020 CIT0042 CIT0001 CIT0023 Köbis E (CIT0032) 2017; 1 CIT0045 CIT0022 CIT0044 Bouza G (CIT0029) 2017; 1 Khan AA (CIT0030) 2017; 2 Ioffe AD. (CIT0039) 1996; 22 CIT0003 CIT0025 CIT0002 CIT0024 CIT0005 CIT0027 CIT0004 CIT0026 CIT0007 CIT0006 Bao TQ (CIT0021) 2015; 16 CIT0009 CIT0008 |
| References_xml | – volume: 22 start-page: 257 year: 1996 ident: CIT0039 publication-title: Subdifferentials of performance functions and calculus of coderivatives of setvalued mappings. Serdica Math J – ident: CIT0008 doi: 10.1137/05062648X – volume: 24 start-page: 393 year: 2017 ident: CIT0028 publication-title: J Convex Anal – volume: 1 start-page: 301 year: 2017 ident: CIT0032 publication-title: Appl Anal Optim – volume: 16 start-page: 1511 year: 2015 ident: CIT0021 publication-title: J Nonlinear Convex Anal – ident: CIT0003 doi: 10.1137/S0363012900374816 – ident: CIT0016 doi: 10.1007/s10898-013-0132-4 – ident: CIT0018 doi: 10.1007/s10013-014-0103-1 – ident: CIT0027 doi: 10.1007/s10898-007-9246-x – ident: CIT0023 doi: 10.1080/02331934.2015.1040793 – ident: CIT0024 doi: 10.1080/02331934.2016.1152473 – ident: CIT0033 doi: 10.37193/CJM.2017.03.09 – ident: CIT0036 doi: 10.11650/tjm/180505 – ident: CIT0010 doi: 10.1007/s10957-007-9235-8 – volume: 1 start-page: 67 year: 2017 ident: CIT0029 publication-title: Appl Anal Optim – ident: CIT0015 doi: 10.1007/s10957-013-0267-y – ident: CIT0011 doi: 10.1137/100811155 – ident: CIT0005 doi: 10.1137/060651860 – ident: CIT0025 doi: 10.1007/BF00932614 – ident: CIT0004 doi: 10.1137/S1052623400366656 – ident: CIT0020 doi: 10.1007/s11228-014-0313-4 – ident: CIT0009 doi: 10.1007/s00186-006-0078-0 – ident: CIT0035 doi: 10.1007/s10957-018-1269-6 – ident: CIT0041 doi: 10.1007/978-3-319-64277-2 – ident: CIT0006 doi: 10.1007/s10107-008-0249-2 – ident: CIT0042 doi: 10.1070/RM2000v055n03ABEH000292 – ident: CIT0002 doi: 10.1137/S0363012999350821 – ident: CIT0017 doi: 10.1007/s10957-014-0535-5 – ident: CIT0007 doi: 10.1007/BF01720705 – ident: CIT0013 doi: 10.1080/02331934.2011.575939 – ident: CIT0040 doi: 10.1023/A:1008614315547 – ident: CIT0031 doi: 10.1080/02331934.2016.1172226 – ident: CIT0001 doi: 10.1137/S1052623496311697 – ident: CIT0014 doi: 10.1007/978-3-642-54283-1 – ident: CIT0026 doi: 10.1007/978-1-4684-8395-6 – ident: CIT0019 doi: 10.1007/s10957-013-0332-6 – ident: CIT0044 doi: 10.1007/s10957-012-0259-3 – ident: CIT0022 doi: 10.1007/s10898-014-0207-x – volume: 2 start-page: 305 year: 2017 ident: CIT0030 publication-title: Pure Appl Funct Anal – ident: CIT0037 doi: 10.1007/s10898-018-0614-5 – ident: CIT0034 doi: 10.1007/s10013-017-0263-x – ident: CIT0045 doi: 10.1137/S1052623402414701 – ident: CIT0012 doi: 10.1007/s10957-011-9928-x – ident: CIT0038 doi: 10.1016/0362-546X(87)90073-3 – ident: CIT0043 doi: 10.1007/3-540-31247-1 |
| SSID | ssj0021624 |
| Score | 2.263607 |
| Snippet | In this paper, we consider the weak approximate solutions to constrained vector optimization problems with variable ordering structures. In terms of abstract... |
| SourceID | proquest crossref informaworld |
| SourceType | Aggregation Database Index Database Publisher |
| StartPage | 2131 |
| SubjectTerms | abstract subdifferential approximate solution Lagrange multiplier Optimization variable structure Vector optimization |
| Title | Lagrange multiplier rules for weak approximate Pareto solutions to constrained vector optimization problems with variable ordering structures |
| URI | https://www.tandfonline.com/doi/abs/10.1080/02331934.2020.1857753 https://www.proquest.com/docview/2684793521 |
| Volume | 71 |
| WOSCitedRecordID | wos000598208000001&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 & Francis Journals Complete 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/eLvHCXMwrV07T8MwELZQxQADb0ShoBtYA2mcOM6IEBVDVXUo0C3yE1VAi5q28Cf4z5wTB7VCiAHGRLHlnM_38t13hJzTkKtM6ixoo68QxFzogOtYBaheBdU25VUd93037fX4cJj1fTZh4dMqnQ9tK6CIUla7wy1kUWfEXaKaQcahLiIS4SuepGhzoxRG1e-O5qDz8OVytVnZ1taNCNyQuobnp1lWtNMKduk3WV0qoM72Pyx9h2x56xOuKnbZJWtmvEc2lzAJ98lHVzxOXcUB-FxD1JswnT-bAnCZ8GbEE5RA5O8jNHYN9F2b3Al8sTDgg3JGp-s9YTQsymsBmKBoevE1n-C72BTgosCwQHfdFXBBCQOKi4AK1HY-NcUBuevcDK5vA9-zIVARZ7PAMBkKw_AvZShFmGlGZSQYsykViWACdSbXSRpnmqosUpLGcSKkRU_QRMawlB6SxngyNkcENM_Q2ETOkRY_slJKYRMaWrQgE6ukbpKLeq_y1wqaI2_XiKeezrmjc-7p3CTZ8o7mszImYqsGJjn9ZWyr3v7cn_Iid0g5KN_QAjr-w9QnZCNyNRUuZkxbpIEkNqdkXS1mo2J6VvLzJ3Un9jE |
| linkProvider | Taylor & Francis |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LT-MwELZ4SSwHnruC5TUHroE0ThznuEJUIErFoTxulh3bqGJpUVPK_on9z8zkgYoQ4gDHRHHkjMfzir9vGDvgocwzY7OghblCEEttA2njPED3qrn1qaxw3NedtNuVt7fZNBaGjlVSDu0roojSVtPmpmJ0cyTuCP0Mag6nkkiEt2SSYtA9y-YT9LXEn99r37wmXS1RNralIQGNaVA8H73mjX96w176zlqXLqi98h2TX2XLdQAKfyqNWWMzbrDOlqZoCTfY_46-GxHoAOrjhug6YfT01xWA84Rnp--h5CL_18d418EldcodwqsWA17kFHdS-wlnYVL-GYAhWqeHGvYJdSObAqgQDBPM2AnDBSUTKE4CKl7bp5ErfrKr9knv-DSo2zYEeSTFOHDChNoJ_EoTGh1mVnATaSF8ynWihUa3KW2SxpnleRblhsdxoo3HZNBFzomU_2Jzg-HAbTKwMsN4E5XHeHzIG2O0T3joMYhMfG7sFjtsFks9VuwcqtWQntZyViRnVct5i2XTS6rGZVnEVz1MFP9k7E6z_qre6IUishw0cRgE_f7Cq_fZ4mnvoqM6Z93zbfYjIogFlZD5DptDcbtdtpBPxv1itFcq9wv_efpb |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LT8MwDI5gIAQH3og3PnAtdE2bpkcETCCmaQdetyhpEoSADa3b4E_wn3HaFIEQ4gDHVk2VOk782bU_E7JPQ55nSmdBE32FIOZSB1zHeYDmVVJtU17VcV-3006H395mXZ9NWPi0SudD24ooojyr3eZ-1rbOiDtEM4OKQ11EJMJbPEkRc0-SKYTOzCn5Zevmw-dqsrKvrRsSuDF1Ec9Pr_linr6Ql347rEsL1Fr4h7kvknkPP-Go0pclMmF6y2TuEynhCnlry7uBKzkAn2yIhhMGo0dTAE4TXox8gJKJ_PUe0a6BruuT24cPHQa8yB3qdM0njIZx-V8A-ng2PfmiT_BtbApwYWAYo7_uKrig5AHFSUDFajsamGKVXLVOL4_PAt-0IcgjzoaBYSqUhuFXqlDJMNOMqkgyZlMqE8kkGk2ukzTONM2zKFc0jhOpLLqCJjKGpXSNNHr9nlknoHmGaBNVR1l8yCqlpE1oaBFCJjZXeoMc1GslnituDtGsKU-9nIWTs_By3iDZ5xUVwzIoYqsOJoL-Mna7Xn7ht3khHFUOHnAIgTb_8Oo9MtM9aYn2eedii8xGrr7CxY_pNmmgtM0Omc7Hw_tisFuq9jsacvkN |
| 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=Lagrange+multiplier+rules+for+weak+approximate+Pareto+solutions+to+constrained+vector+optimization+problems+with+variable+ordering+structures&rft.jtitle=Optimization&rft.au=Hu%2C+Chunhai&rft.au=Zhu%2C+Jiangxing&rft.date=2022-07-03&rft.issn=0233-1934&rft.eissn=1029-4945&rft.volume=71&rft.issue=7&rft.spage=2131&rft.epage=2155&rft_id=info:doi/10.1080%2F02331934.2020.1857753&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_02331934_2020_1857753 |
| 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 |