一类Dini广义凸非光滑多目标规划的充分条件

Sufficient conditions for a class of nonsmooth multiobjective programming with generalized Dini-convexity

以Dini导数为研究工具,通过引进Dini不变凸函数、Dini不变拟凸函数、Dini不变伪凸函数,讨论了它们的性质.在此基础上建立了Dini广义凸非光滑多目标规划最优性的充分条件,得到一系列相关结果.

A class of generalized Dini-convex function is introduce and its character is discussed, on the basis of which sufficient conditions of generalized Dini-convex nonsmooth multiobjective programming are obtained.