不可微规划的Kuhn-Tucker充分条件

重庆交通大学学报（自然科学版） ›› 1991, Vol. 10 ›› Issue (2): 51-58.

不可微规划的Kuhn-Tucker充分条件

杨新民

重庆师范学院

收稿日期:1990-06-04 出版日期:1991-04-22 发布日期:2016-11-09
作者简介:杨新民,男,30岁,讲师。

Kuhn-Tucker Sufficient Conditions for Nondifferentiable Programming

Yang Xinmin

Chongqing teacher's College, Chongqing

Received:1990-06-04 Online:1991-04-22 Published:2016-11-09

摘要/Abstract

摘要： 本文引入了广义严格伪凸函数,广义伪凸函数,广义拟凸函数和广义弱拟凸函数。并讨论了它们之间的关系及性质。在这些广义凸性条件下,证明了不可微规划极值的Kuhn-Tucker充分条件。

关键词: 不可微规划, 广义凸函数, 充分条件

Abstract: Concepts of generalized strict pseudoconvexity, generalized quasiconvexity and generalized weak quasiconvexity are introduced; Properties and relations between these generalized convex functions are investigated, and Kuhn-Tucker sufficient conditions are proven for nondifferentiable programming under some weaker conditions.

Key words: nondifferentiable programming, generalized convex functions, sufficient conditions

杨新民. 不可微规划的Kuhn-Tucker充分条件[J]. 重庆交通大学学报（自然科学版）, 1991, 10(2): 51-58.

Yang Xinmin. Kuhn-Tucker Sufficient Conditions for Nondifferentiable Programming[J]. Journal of Chongqing Jiaotong University(Natural Science), 1991, 10(2): 51-58.