View in EDS PDF Full Text

Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints.

Saved in:
Bibliographic Details
Title: Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints.
Authors: Le Thanh Tung1 lttung@ctu.edu.vn, Dang Hoang Tam1, Tran Thien Khai2,3,4
Source: Numerical Functional Analysis & Optimization. 2024, Vol. 45 Issue 1, p44-81. 38p.
Subjects: Lagrange problem, Constraint programming
Abstract: The objective of this paper is to investigate multiobjective semiinfinite programming problems with vanishing constraints (in brief, MSIPVC). We firstly propose both the vector Lagrange dual problems and the scalarized Lagrange dual problems for MSIPVC and explore duality relations under convexity assumptions. Then, the saddle point optimality conditions for MSIPVC are considered. Some examples are also given to illuminate the main results. [ABSTRACT FROM AUTHOR]
Copyright of Numerical Functional Analysis & Optimization is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 176279799
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Le+Thanh+Tung%22">Le Thanh Tung</searchLink><relatesTo>1</relatesTo><i> lttung@ctu.edu.vn</i><br /><searchLink fieldCode="AR" term="%22Dang+Hoang+Tam%22">Dang Hoang Tam</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Tran+Thien+Khai%22">Tran Thien Khai</searchLink><relatesTo>2,3,4</relatesTo>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Numerical+Functional+Analysis+%26+Optimization%22">Numerical Functional Analysis & Optimization</searchLink>. 2024, Vol. 45 Issue 1, p44-81. 38p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Lagrange+problem%22">Lagrange problem</searchLink><br /><searchLink fieldCode="DE" term="%22Constraint+programming%22">Constraint programming</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The objective of this paper is to investigate multiobjective semiinfinite programming problems with vanishing constraints (in brief, MSIPVC). We firstly propose both the vector Lagrange dual problems and the scalarized Lagrange dual problems for MSIPVC and explore duality relations under convexity assumptions. Then, the saddle point optimality conditions for MSIPVC are considered. Some examples are also given to illuminate the main results. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Numerical Functional Analysis & Optimization is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=176279799
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1080/01630563.2024.2305347
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 38
        StartPage: 44
    Subjects:
      – SubjectFull: Lagrange problem
        Type: general
      – SubjectFull: Constraint programming
        Type: general
    Titles:
      – TitleFull: Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Le Thanh Tung
      – PersonEntity:
          Name:
            NameFull: Dang Hoang Tam
      – PersonEntity:
          Name:
            NameFull: Tran Thien Khai
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Text: 2024
              Type: published
              Y: 2024
          Identifiers:
            – Type: issn-print
              Value: 01630563
          Numbering:
            – Type: volume
              Value: 45
            – Type: issue
              Value: 1
          Titles:
            – TitleFull: Numerical Functional Analysis & Optimization
              Type: main
ResultId 1