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First and Second-Order Optimality Conditions for Convex Composite Multiobjective Optimization (1997)

Yang, X. Q. ; Jeyakumar, V.

Springer

Journal of optimization theory and applications 95 (1997), S. 209-224

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ISSN: 1573-2878

Keywords: Multiobjective optimization ; nonsmooth analysis ; convex analysis ; sufficient optimality condition

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1022695714596

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