向量优化问题中弱有效解的Fritz—John型最优性条件

Fritz-John Optimality Conditions of Weakly Efficient Solutions for Vector Optimization Problems

在实赋泛线性空间中，引入了H-伪凸，严格H-伪凸，Q-不变凸，严格S-不变凸等几类广义凸性概念，获得了一类向量最优化问题的弱有效解的两个最优性充分条件。

In this paper, concepts of H-quasi-convexity, strictly H-quasi-convexity, Q-invexity, Strictly S-invexity arc introduced at first, and then, the author obtain two sufficient conditions of weakly efficient solutions for a kind of vector optimization problems in the real normed linear spaces.