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 language | English |
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Pages (from-to) | 209-224 |
Number of pages | 16 |
Journal | Journal of Optimization Theory and Applications |
Volume | 95 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 1997 |
Externally published | Yes |
Keywords
- Convex analysis
- Multiobjective optimization
- Nonsmooth analysis
- Sufficient optimality condition
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics