零集拟凸函数和零集拟凸规划的最优性条件

摘要

A new class of generalized convex functions,which are called zero-set quasi-convex functions are defined,and some of their basic properties are discussed.According to the properties of the functions, sufficient optimality conditions for the nonlinear zero-set quasi-convex programming with inequality constraints are given.%定义一种广义凸函数:零集拟凸函数,讨论其相关性质,并结合函数性质给出零集拟凸不等式约束规划的最优性条件.