First and second-order optimality conditions for convex composite multiobjective optimization

Xiaoqi Yang, V. Jeyakumar

Research output: Journal article publicationJournal articleAcademic researchpeer-review

20 Citations (Scopus)

Abstract

Multiobjective optimization is a useful mathematical model in order to investigate real-world problems with conflicting objectives, arising from economics, engineering, and human decision making. In this paper, a convex composite multiobjective optimization problem, subject to a closed convex constraint set, is studied. New first-order optimality conditions for a weakly efficient solution of the convex composite multiobjective optimization problem are established via scalarization. These conditions are then extended to derive second-order optimality conditions.
Original languageEnglish
Pages (from-to)209-224
Number of pages16
JournalJournal of Optimization Theory and Applications
Volume95
Issue number1
DOIs
Publication statusPublished - 1 Jan 1997
Externally publishedYes

Keywords

  • Convex analysis
  • Multiobjective optimization
  • Nonsmooth analysis
  • Sufficient optimality condition

ASJC Scopus subject areas

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

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