摘要
在一般Bananch空间中给出了向量值函数的G-preinvex定义,并利用此函数获得了向量最优化问题解存在的必要条件和充分条件,该结果改进和推广了已有的结论。
This paper gives a definition of G-preinvex of vectorial function in Bananch space. Then we use this definition to prove the necessary and sufficient optimality conditions of vectorial optimization problems, which generalized the results in other abstracts .