First-and Second-order Optimality Conditions for Convex Composite Multi-objective Optimization
نویسندگان
چکیده
Multi-objective optimization is known as a useful mathematical model in order to investigate some real world problems with connicting objectives, arising from economics, engineering and human decision making. In this paper, a convex composite multi-objective optimization subject to a closed convex set constraint is studied. New rst-order optimality conditions of a weakly eecient solution for the convex composite multi-objective optimization problem are established via scalarization. These conditions are then extended to derive second-order optimality conditions.
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