知识与财富的链接
在实拓扑向量空间中,利用距离函数,给出了向量优化问题局部拟有效解和拟有效解的概念,提出了四类新的广义近似凸函数并建立了向量优化问题局部拟有效解和局部有效解的最优性充分条件;其结果是对文献[5]的相应结果的推广.
In this article,we firstly give the concepts of locally quasi efficient solutions and quasi efficient solution in vector optimization problem via distance function in real topological vector space,Then we introduce foutr new classes of generalized approximate convex functions in topological vector space and establish sufficient optimality conditions for the lacally quasi efficien solutions and locally efficient solutions of a vector optimization problem.The results of this paper are an extention of the corresponding results in [5].