强G-预不变凸向量优化问题的最优性条件

Optimality Conditions of Strongly G-Preinvex Vector Optimization Problems

引进了一种新的广义凸函数-强G-预不变凸函数,讨论了强G-预不变凸函数与G-预不变凸函数的关系.在强G-预不变凸函数的假设下获得了向量优化问题严格极小元的充分性条件.

Firstly, a class of new generalized convex function, strongly G-preinvex function, is introduced. Secondly, the relationship between strongly G-preinvex function and G-preinvex function is discussed. Finally, under the assumption of strongly G-preinvex functions, a sufficient condition of strict minimizer of the vector optimization problem is obtained.