Sensitivity Analysis in Parametric Convex Vector Optimization
In this paper, sensitivity analysis of the efficient sets in parametric convex vector optimization is considered. Namely, the perturbation, weak perturbation, and proper perturbation maps are defined as set-valued maps. We establish the formulas for computing the Fréchet coderivative of the profile...
Uloženo v:
| Vydáno v: | Set-valued and variational analysis Ročník 32; číslo 4; s. 29 |
|---|---|
| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Dordrecht
Springer Netherlands
01.12.2024
Springer Nature B.V |
| Témata: | |
| ISSN: | 1877-0533, 1877-0541 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | In this paper, sensitivity analysis of the efficient sets in parametric convex vector optimization is considered. Namely, the perturbation, weak perturbation, and proper perturbation maps are defined as set-valued maps. We establish the formulas for computing the Fréchet coderivative of the profile of the above three kinds of perturbation maps. Because of the convexity assumptions, the conditions set are fairly simple if compared to those in the general case. In addition, our conditions are stated directly on the data of the problem. It is worth emphasizing that our approach is based on convex analysis tools which are different from those in the general case. |
|---|---|
| AbstractList | In this paper, sensitivity analysis of the efficient sets in parametric convex vector optimization is considered. Namely, the perturbation, weak perturbation, and proper perturbation maps are defined as set-valued maps. We establish the formulas for computing the Fréchet coderivative of the profile of the above three kinds of perturbation maps. Because of the convexity assumptions, the conditions set are fairly simple if compared to those in the general case. In addition, our conditions are stated directly on the data of the problem. It is worth emphasizing that our approach is based on convex analysis tools which are different from those in the general case. |
| ArticleNumber | 29 |
| Author | An, Duong Thi Viet Tung, Le Thanh |
| Author_xml | – sequence: 1 givenname: Duong Thi Viet orcidid: 0000-0003-1822-4929 surname: An fullname: An, Duong Thi Viet email: andtv@tnus.edu.vn organization: Department of Mathematics and Informatics, Thai Nguyen University of Sciences – sequence: 2 givenname: Le Thanh surname: Tung fullname: Tung, Le Thanh organization: Department of Mathematics, College of Natural Sciences, Can Tho University |
| BookMark | eNp9kE1LAzEQhoNUsK3-AU8Lnlcnye4mOXgoxS8oVPDjGrLZrKS02ZqkxfXXG13RW08zA8_7MjwTNHKdMwidY7jEAOwqYEwIz4EUeTopzekRGmPOWA5lgUd_O6UnaBLCKkEAAo_R9ZNxwUa7t7HPZk6t-2BDZl32qLzamOitzuad25uP7NXo2PlsuY12Yz9VtJ07RcetWgdz9jun6OX25nl-ny-Wdw_z2SLXRPCY87ZUmFCNa15yVgumua4LwU1VC2G4JhXgBjg0uG5ZpQqgBkxTM1ND0wiN6RRdDL1b373vTIhy1e18-jZISlhJhBD0MIWhYjgVF4kiA6V9F4I3rdx6u1G-lxjkt0w5yJRJpvyRKWkK0SEUEuzejP-vPpD6AtvBeBU |
| Cites_doi | 10.1007/978-3-642-54265-7 10.1007/s11228-021-00601-4 10.1007/978-1-4612-1394-9 10.1006/jmaa.1996.0331 10.1016/S0022-247X(03)00192-6 10.1007/BFb0039570 10.11650/twjm/1500405608 10.1007/s00186-005-0007-7 10.1007/s11117-019-00689-x 10.1080/00036811.2014.890710 10.1007/BF02055192 10.1007/s11117-020-00778-2 10.1007/978-3-662-02796-7 10.1007/BF00939554 10.1007/s10898-008-9336-4 10.1007/s11228-017-0426-7 10.1007/BF00940783 10.1137/06067438 10.1137/0326031 10.1007/978-3-030-94785-9 10.1186/s13660-016-1059-3 10.11650/twjm/1500405137 10.1137/S1052623495287927 10.1007/s10957-010-9646-9 10.1007/978-3-642-50280-4 10.1007/s11228-010-0171-7 10.1007/978-1-4471-4820-3 10.1007/s10898-012-0025-y 10.1016/j.na.2010.08.042 |
| ContentType | Journal Article |
| Copyright | The Author(s), under exclusive licence to Springer Nature B.V. 2024 Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Copyright Springer Nature B.V. 2024 The Author(s), under exclusive licence to Springer Nature B.V. 2024. |
| Copyright_xml | – notice: The Author(s), under exclusive licence to Springer Nature B.V. 2024 Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. – notice: Copyright Springer Nature B.V. 2024 – notice: The Author(s), under exclusive licence to Springer Nature B.V. 2024. |
| DBID | AAYXX CITATION 7XB 8FE 8FG ABJCF AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO GNUQQ HCIFZ L6V M2P M7S PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI PTHSS Q9U |
| DOI | 10.1007/s11228-024-00733-3 |
| DatabaseName | CrossRef ProQuest Central (purchase pre-March 2016) ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Database ProQuest Central UK/Ireland ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea ProQuest Central Student SciTech Premium Collection ProQuest Engineering Collection Science Database Engineering Database ProQuest Central Premium ProQuest One Academic (New) ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition Engineering Collection ProQuest Central Basic |
| DatabaseTitle | CrossRef Engineering Database ProQuest Central Student Technology Collection ProQuest Central Basic ProQuest One Academic Middle East (New) ProQuest Central Essentials ProQuest Science Journals ProQuest One Academic Eastern Edition SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest One Academic ProQuest Central (New) Engineering Collection ProQuest One Academic (New) |
| DatabaseTitleList | Engineering Database |
| Database_xml | – sequence: 1 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1877-0541 |
| ExternalDocumentID | 10_1007_s11228_024_00733_3 |
| GrantInformation_xml | – fundername: The Science and Technology Fund of the Vietnam Ministry of Education and Training grantid: (B2024-TNA-20) |
| GroupedDBID | -5D -5G -BR -EM -Y2 -~C .VR 06D 0R~ 0VY 199 1N0 203 2J2 2JN 2JY 2KG 2LR 2~H 30V 4.4 406 408 409 40D 40E 5VS 6NX 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDZT ABECU ABFTV ABHLI ABHQN ABJNI ABJOX ABKCH ABKTR ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACZOJ ADHIR ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFGCZ AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AOCGG ARMRJ AXYYD AYJHY AZFZN B-. BAPOH BDATZ BGNMA BSONS CSCUP DDRTE DNIVK DPUIP DU5 EBLON EBS EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 H13 HF~ HG6 HLICF HMJXF HQYDN HRMNR HVGLF HZ~ IJ- IKXTQ ITM IWAJR IZIGR I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ KOV LAK LLZTM M4Y MA- N9A NB0 NPVJJ NQJWS NU0 O9- O93 O9G O9J P9R PF0 PT4 QOS R89 R9I ROL RSV S16 S3B SAP SCLPG SDH SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN TSG TSV TUC U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z45 ZMTXR ZWQNP ~A9 AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC ADHKG AEZWR AFDZB AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP ATHPR AYFIA CITATION 7XB 8FE 8FG ABJCF AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO GNUQQ HCIFZ L6V M2P M7S PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI PTHSS Q9U |
| ID | FETCH-LOGICAL-c298t-8f5a123c1b8587b97c8cb498e6b99e8c2601d080d1bf76a403e0edb7eb0dd9c13 |
| IEDL.DBID | RSV |
| ISICitedReferencesCount | 0 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001315746900001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1877-0533 |
| IngestDate | Tue Dec 02 06:51:19 EST 2025 Thu Sep 25 00:49:42 EDT 2025 Sat Nov 29 01:59:32 EST 2025 Fri Feb 21 02:36:07 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 4 |
| Keywords | 90C31 Sensitivity analysis 49K40 49J52 90C25 Fréchet coderivative Perturbation map 90C29 Parametric convex vector optimization Weak perturbation map Proper perturbation map Domination property |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c298t-8f5a123c1b8587b97c8cb498e6b99e8c2601d080d1bf76a403e0edb7eb0dd9c13 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0003-1822-4929 |
| PQID | 3275299931 |
| PQPubID | 2044238 |
| ParticipantIDs | proquest_journals_3275299931 proquest_journals_3106714034 crossref_primary_10_1007_s11228_024_00733_3 springer_journals_10_1007_s11228_024_00733_3 |
| PublicationCentury | 2000 |
| PublicationDate | 2024-12-01 |
| PublicationDateYYYYMMDD | 2024-12-01 |
| PublicationDate_xml | – month: 12 year: 2024 text: 2024-12-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Dordrecht |
| PublicationPlace_xml | – name: Dordrecht |
| PublicationSubtitle | Theory and Applications |
| PublicationTitle | Set-valued and variational analysis |
| PublicationTitleAbbrev | Set-Valued Var. Anal |
| PublicationYear | 2024 |
| Publisher | Springer Netherlands Springer Nature B.V |
| Publisher_xml | – name: Springer Netherlands – name: Springer Nature B.V |
| References | T.D. Chuong (733_CR12) 2009; 3 B.S. Mordukhovich (733_CR26) 1980; 22 T.Q. Bao (733_CR5) 2009; 43 D.T. Luc (733_CR24) 1989 A. Taa (733_CR34) 2005; 62 J.P. Aubin (733_CR3) 1984 T.D. Chuong (733_CR11) 2013; 57 L.T. Tung (733_CR40) 2021; 25 K. Malanowski (733_CR25) 1987 J.P. Aubin (733_CR4) 1990 W. Li (733_CR22) 1997; 7 T.D. Chuong (733_CR8) 2011; 74 D.S. Shi (733_CR32) 1993; 77 N.Q. Huy (733_CR18) 2008; 12 Y. Sawaragi (733_CR31) 1985 L.T. Tung (733_CR38) 2016; 2016 L.T. Tung (733_CR39) 2020; 24 B.S. Mordukhovich (733_CR27) 2006 A. Taa (733_CR33) 2003; 283 T.D. Chuong (733_CR10) 2010; 146 F. Clarke (733_CR13) 2013 D.T.V. An (733_CR2) 2015; 94 J.-B. Hiriart Urruty (733_CR17) 1993 T. Tanino (733_CR37) 1990; 27 S. Li (733_CR23) 2011; 19 N. Dinh (733_CR14) 2009; 34 A.V. Fiacco (733_CR15) 1983 T.D. Chuong (733_CR9) 2009; 13 B.S. Mordukhovich (733_CR29) 2017; 25 R.T. Rockafellar (733_CR30) 2009 J.F. Bonnans (733_CR7) 2000 G.M. Lee (733_CR21) 2007; 11 D. Bartl (733_CR6) 2008; 19 T. Tanino (733_CR36) 1988; 26 D.T.V. An (733_CR1) 2021; 29 T. Tanino (733_CR35) 1988; 56 A.A. Khan (733_CR19) 2015 B.S. Mordukhovich (733_CR28) 2022 H. Kuk (733_CR20) 1996; 202 M.A. Goberna (733_CR16) 1998 |
| References_xml | – volume: 11 start-page: 945 year: 2007 ident: 733_CR21 publication-title: Taiwan. J. Math. – volume-title: Set-Valued Optimization year: 2015 ident: 733_CR19 doi: 10.1007/978-3-642-54265-7 – volume: 29 start-page: 893 year: 2021 ident: 733_CR1 publication-title: Set-Valued Var. Anal. doi: 10.1007/s11228-021-00601-4 – volume-title: Perturbation Analysis of Optimization Problems year: 2000 ident: 733_CR7 doi: 10.1007/978-1-4612-1394-9 – volume: 3 start-page: 1462 year: 2009 ident: 733_CR12 publication-title: SIAM J. Optim. – volume: 202 start-page: 511 year: 1996 ident: 733_CR20 publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1996.0331 – volume-title: Applied Nonlinear Analysis year: 1984 ident: 733_CR3 – volume: 283 start-page: 398 year: 2003 ident: 733_CR33 publication-title: J. Math. Anal. Appl. doi: 10.1016/S0022-247X(03)00192-6 – volume-title: Stability of Solutions to Convex Problems of Optimization year: 1987 ident: 733_CR25 doi: 10.1007/BFb0039570 – volume: 13 start-page: 1671 year: 2009 ident: 733_CR9 publication-title: Taiwan. J. Math. doi: 10.11650/twjm/1500405608 – volume: 62 start-page: 187 year: 2005 ident: 733_CR34 publication-title: Math. Methods Oper. Res. doi: 10.1007/s00186-005-0007-7 – volume: 24 start-page: 441 year: 2020 ident: 733_CR39 publication-title: Positivity doi: 10.1007/s11117-019-00689-x – volume: 94 start-page: 108 year: 2015 ident: 733_CR2 publication-title: Appl. Anal. doi: 10.1080/00036811.2014.890710 – volume: 27 start-page: 97 year: 1990 ident: 733_CR37 publication-title: Ann. Oper. Res. doi: 10.1007/BF02055192 – volume: 25 start-page: 579 year: 2021 ident: 733_CR40 publication-title: Positivity doi: 10.1007/s11117-020-00778-2 – volume-title: Convex Analysis and Minimization Algorithms I year: 1993 ident: 733_CR17 doi: 10.1007/978-3-662-02796-7 – volume: 56 start-page: 479 year: 1988 ident: 733_CR35 publication-title: J. Optim. Theory Appl. doi: 10.1007/BF00939554 – volume: 43 start-page: 533 year: 2009 ident: 733_CR5 publication-title: J. Glob. Optim. doi: 10.1007/s10898-008-9336-4 – volume-title: Introduction to Sensitivity and Stability Analysis year: 1983 ident: 733_CR15 – volume: 25 start-page: 731 issue: 4 year: 2017 ident: 733_CR29 publication-title: Set-Valued Var. Anal. doi: 10.1007/s11228-017-0426-7 – volume: 77 start-page: 145 issue: 1 year: 1993 ident: 733_CR32 publication-title: J. Optim. Theory Appl. doi: 10.1007/BF00940783 – volume: 19 start-page: 234 year: 2008 ident: 733_CR6 publication-title: SIAM J. Optim. doi: 10.1137/06067438 – volume-title: Theory of Multiobjective Optimization year: 1985 ident: 733_CR31 – volume: 26 start-page: 521 issue: 3 year: 1988 ident: 733_CR36 publication-title: SIAM J. Control Optim. doi: 10.1137/0326031 – volume: 34 start-page: 123 year: 2009 ident: 733_CR14 publication-title: Acta Math. Vietnam. – volume-title: Convex Analysis and Beyond: Volume I: Basic Theory year: 2022 ident: 733_CR28 doi: 10.1007/978-3-030-94785-9 – volume-title: Set-Valued Analysis year: 1990 ident: 733_CR4 – volume: 2016 year: 2016 ident: 733_CR38 publication-title: J. Inequal. Appl. doi: 10.1186/s13660-016-1059-3 – volume: 12 start-page: 2083 year: 2008 ident: 733_CR18 publication-title: Taiwan. J. Math. doi: 10.11650/twjm/1500405137 – volume: 7 start-page: 966 year: 1997 ident: 733_CR22 publication-title: SIAM J. Optim. doi: 10.1137/S1052623495287927 – volume: 22 start-page: 526 year: 1980 ident: 733_CR26 publication-title: Sov. Math. Dokl. – volume: 146 start-page: 77 year: 2010 ident: 733_CR10 publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-010-9646-9 – volume-title: Theory of Vector Optimization year: 1989 ident: 733_CR24 doi: 10.1007/978-3-642-50280-4 – volume-title: Linear Semi-Infinite Optimization year: 1998 ident: 733_CR16 – volume: 19 start-page: 505 year: 2011 ident: 733_CR23 publication-title: Set-Valued Var. Anal. doi: 10.1007/s11228-010-0171-7 – volume-title: Variational Analysis and Generalized Differentiation. Volume I: Basic Theory, Volume II: Applications year: 2006 ident: 733_CR27 – volume-title: Functional Analysis, Calculus of Variations and Optimal Control year: 2013 ident: 733_CR13 doi: 10.1007/978-1-4471-4820-3 – volume-title: Variational Analysis year: 2009 ident: 733_CR30 – volume: 57 start-page: 1229 year: 2013 ident: 733_CR11 publication-title: J. Glob. Optim. doi: 10.1007/s10898-012-0025-y – volume: 74 start-page: 273 year: 2011 ident: 733_CR8 publication-title: Nonlinear Anal. doi: 10.1016/j.na.2010.08.042 |
| SSID | ssj0070091 |
| Score | 2.3455007 |
| Snippet | In this paper, sensitivity analysis of the efficient sets in parametric convex vector optimization is considered. Namely, the perturbation, weak perturbation,... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Index Database Publisher |
| StartPage | 29 |
| SubjectTerms | Analysis Approximation Convex analysis Convexity Mathematics Mathematics and Statistics Optimization Parameter sensitivity Perturbation Sensitivity analysis |
| SummonAdditionalLinks | – databaseName: Science Database dbid: M2P link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELagMMDAG1EoKAMbRMSPJPaAEKpADLRUAqpuUfyo1IG0NAXx8_E5TisQsLBksRQ7d5e78z2-Q-g0dveMlIUsMfZhUqsHqcYhiYeRMrEmuYMU6t-n3S4fDETPB9xKX1ZZ60SnqPVYQYz8gpI0tqpTUHw1eQ1hahRkV_0IjWW0Yj0bDCVdHdKrNXFq_Qd34eL2BNBz6ptmqtY5TACbmbDQzS0M6VfDtPA2vyVInd253fzvibfQhvc4g-tKRLbRkil20HpnDtda7qLLRyhjr-ZIBDVMSTAqgl4OtVsA4h-0oTz9I-i7KH_wYDXNi2_h3EPPtzdP7bvQz1UIFRF8FvJhnFuDpbDkMU-lSBVXkgluEimE4QpQxrT1JDWWwzTJWURNZACGWUZaC4XpPmoU48IcoACTaMggU8plwlQkRaRpThnLjbQfr3ETndVEzSYVfEa2AEoGFmSWBZljQUabqFVTMvO_UplRALkDVEH28_Kcyk10XrNqsfz7Zod_v-0IrRGQDle50kKN2fTNHKNV9T4bldMTJ2efQpDWng priority: 102 providerName: ProQuest |
| Title | Sensitivity Analysis in Parametric Convex Vector Optimization |
| URI | https://link.springer.com/article/10.1007/s11228-024-00733-3 https://www.proquest.com/docview/3106714034 https://www.proquest.com/docview/3275299931 |
| Volume | 32 |
| WOSCitedRecordID | wos001315746900001&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: PRVAVX databaseName: Springer Journals New Starts & Take-Overs Collection customDbUrl: eissn: 1877-0541 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0070091 issn: 1877-0533 databaseCode: RSV dateStart: 20090601 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV09T8MwED3RlgEGvhGFUmVgg0iJ7cT2wABVKwZaohaqblHsOFIHAmoK4udjuwkRqAyweHGUs17su3Pu7h3ARWDvGZS4JFR6UFTrQZz6LgoyT6ogRYmlFJre09GIzWY8KovCiirbvQpJWk1dF7v5yLApI-LaToMubkBLmztmGjaMJ9NK_1LtNdhrFtNyTaVpWSqz_h3fzVHtY_4Ii1prM9j93zr3YKf0Lp2b1XbYhw2VH8D28IuatTiE64lJWV_1jHAqShJnnjtRYvK0DGG_0zOp6B_O1P7Rdx60VnkuyzWP4GnQf-zduWUPBVcizpYuy4JEGyfpCxYwKjiVTArCmQoF54pJwyiWaq8x9UVGw4R4WHnKUC4LL0259PExNPOXXJ2A4yMvIyYqykRIpCe4l-IEE5IoQQOU-m24rKCMX1dUGXFNimxAiTUosQUlxm3oVGjH5bEpYmwI7QyDIFk_jbQg7dFiLeuqAr-e_l3Y6d8eP4MtZL6fzVrpQHO5eFPnsCnfl_Ni0YXWbX8UjbvQGKLIjHTStTvwEyYTz_A |
| linkProvider | Springer Nature |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3JTsMwEB2xScCBHVFWH-AEEYntNPYBIcQiEKVUYhG3EC-VeqAsLdtP8Y14nIQKBNw4cMnFkpP4TZ7HmZk3AKuxP2ckPOBV6y42cTzITBTQuBlqGxuaeUmhy1pSr4urK9nog7eyFgbTKktO9ERtbjX-I99kNIkddUoWbd_dB9g1CqOrZQuN3CyO7euzO7J1to72HL5rlB7sn-8eBkVXgUBTKbqBaMaZo2sdKRGLRMlEC624FLaqpLRCo8aWcX6UiVQzqWY8ZDa0KEKsQmOkjpibtx8GOSqLYaogbZTMnzh_xR_whHtjrHEtinTyUr2IohY05YHvkxiwzxthz7v9EpD1-9zB-H9boQkYKzxqspN_ApPQZ9tTMHryIUfbmYatM0zTz_tkkFKGhbTapJFhbho2KSC7mH7_Qi59FIOcOia9KUpUZ-DiT55_Fgbat207BySiYZNjJFioKtehkqFhGeM8s8ottokqsF6CmN7l8iBpTwgaIU8d5KmHPGUVWCyRSwuq6KQMRfxQNZF_P_yBagU2StPoDf98s_nfZ1uB4cPzk1paO6ofL8AIRcv0WTqLMNB9eLRLMKSfuq3Ow7K3cQLXf20y790vNJE |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELagIAQDb0ShgAc2iJrYTmwPDKhQgSilUqHqFsWPSB0IVRsQPx_bSSigMiCWLI581tm5R-6-zwCchi7PoMQjkTYPTY0dxCrwUJj6UocKJY5SaNCh3S4bDnnvC4rfdbtXJckC02BZmrK8OVZpcwZ8C5BlVkbEc7cOengRLBHbSG_z9f6gssXURBAu5WJmDRZ1WsJm5s_x3TXN4s0fJVLnedob_1_zJlgvo054WRyTLbCgs22wdv9J2TrdARd928pe3CUBK6oSOMpgL7H9W5bIH7Zsi_o7HLg__fDBWJvnEsa5C57a14-tG6-8W8GTiLPcY2mYGKclA8FCRgWnkklBONOR4FwzaZnGlIkmVSBSGiXEx9rXlopZ-EpxGeA9UMteMr0PYID8lNhqKRMRkb7gvsIJJiTRgoZIBXVwVqk1HhcUGvGMLNkqJTZKiZ1SYlwHjUrzcfk5TWNsie4ssyCZP4yMIBPpYiPrvNqI2fDvwg7-9voJWOldtePObffuEKwiu5WusaUBavnkVR-BZfmWj6aTY3cIPwBxxtg2 |
| 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=Sensitivity+Analysis+in+Parametric+Convex+Vector+Optimization&rft.jtitle=Set-valued+and+variational+analysis&rft.au=An%2C+Duong+Thi+Viet&rft.au=Tung%2C+Le+Thanh&rft.date=2024-12-01&rft.issn=1877-0533&rft.eissn=1877-0541&rft.volume=32&rft.issue=4&rft_id=info:doi/10.1007%2Fs11228-024-00733-3&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s11228_024_00733_3 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1877-0533&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1877-0533&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1877-0533&client=summon |