非光滑半无限多目标优化的高阶KKT最优性充分条件OA北大核心CSTPCD

The nonsmooth semi-infinite multiobjective optimization problems were investigated.The higher-or-der weak KKT sufficient optimality conditions for strictly local efficient solutions were established in terms of higher-order lower Studniarski derivatives.Furthermore,under the assumption that all multipliers associated with objective functions are positive in optimality conditions,the higher-order strong KKT sufficient optimality conditions for strictly local Borwein-properly efficient solutions would be achieved.These sufficient optimality conditions were established without any convexity assumptions.