不可微伪凸函数的最优性条件THE OPTIMALITY CONDITIONS OF NONDIFFERENTIABLE PSEUDOCONVEX FUNCTIONS
张华孝;金跃峰;
摘要(Abstract)：
<正> 拟凸性和伪凸性是数学规划中的两个非常重要的概念。在数理经济和最优化理论中都有广泛的应用.六十年代初期,O.L.Mangasariam首次提出了伪凸的概念,他在Frechet可做的前提下定义了伪凸函数(以下简称为M—伪凸),并解决了这类函数的优化问题,然而,实际问题中偶到的函数往往是不可微的,这就要求人们对不可微规划进行研究。近二十年来,众多的作者从不同的角度对这一问题进行了深入地探讨,给出了各种形式的不可做伪凸函数(见[2—6]),其中以W.E.Diewert的伪凸性定义条件最弱、内涵最广。他用古典的Dim导数代替通常的方向导数或Clarke方向导数,定义了不可微伪凸(简称为D—伪凸)函数,获得了这类函数一些较好的最优性条件。
关键词(KeyWords)：
基金项目(Foundation):
作者(Authors): 张华孝;金跃峰;
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