知识与财富的链接
本文在相关文献考虑MP问题的基础上,增加了等式约束条件,即本文考虑了VP问题,并将已有文献中的凸性假设改为半凸性假设,得到VP问题的ε-拟弱有效解的相应最优性条件.接着,本文定义了VP问题的拉格朗日函数及其ε-拟弱鞍点,得到VP问题的ε-拟弱鞍点相应定理.最后,本文考虑了VP问题的对偶问题,获得了VP问题的弱对偶和强对偶定理.
We consider the VP problem in this paper. By comparing with MP problems in existing literature, we add the equality constraints and change the convex assumptions into semi-convex ones. The optimal conditions for ε-quasi weakly efficient solution for VP problem are obtained. Further, we define the Lagrange function and ε-quasi weakly saddle points of the VP problem and obtain corresponding theorems. Finally we consider the duality of the VP problem and obtain its weak duality and strong duality theorems.
