利用广义代数运算,定义了一类不变凸函数和不完全向量值Lagrange函数的鞍点,研究了涉及此类函数的多目标半无限规划问题,得到了广义鞍点的必要性和充分性条件.在更弱的凸性条件下,得到了几个重要结果.
A class of invex functions and an incomplete vector valued Lagrange saddle point are defined by the Ben-Tal generalized algebraic operation, and the multiple-objective semi-infinite programming involving these invex functions is re- searched. Generalized saddle point necessary conditions and sufficient conditions are obtained, and many important results are obtained under weaker convexity.