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零集拟凸函数和零集拟凸规划的最优性条件
引用本文:晁绵涛,梁东颖. 零集拟凸函数和零集拟凸规划的最优性条件[J]. 广西科学, 2008, 15(3): 263-265
作者姓名:晁绵涛  梁东颖
作者单位:1. 广西教育学院数学与计算机科学系,广西南宁,530023
2. 广西交通职业技术学院,广西南宁,530023
摘    要: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.

关 键 词:凸函数  零集拟凸函数  零集拟凸规划  最优性条件
收稿时间:2008-01-17

Zero-set Quasi-convex Functions and the Optimality Conditions of Zero-set Quasi-convex Programming
CHAO Mian-tao and LIANG Dong-ying. Zero-set Quasi-convex Functions and the Optimality Conditions of Zero-set Quasi-convex Programming[J]. Guangxi Sciences, 2008, 15(3): 263-265
Authors:CHAO Mian-tao and LIANG Dong-ying
Affiliation:Department of Mathematics and Computer Science, Guangxi College of Education, Nanning, Guangxi, 530023, China and Guangxi Vocational and Technical College of Communications, Nanning, Guangxi, 530004, China
Abstract: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.
Keywords:convex function zero-set quasi-convex function  zero-set quasi-convex programming  optimality conditions
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