On minimax fractional programming of generalized convex set functions

被引：11

作者：

Lai, HC ^{[1
]}

Liu, JC ^{[1
]}

机构：

[1] I Shou Univ, Dept Math Appl, Kaohsiung 840, Taiwan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 244卷 / 02期

关键词：

subdifferentiable set function; convex set function; convex family of measurable sets; (F; rho; theta)-convex; -pseudoconvex; -quasiconvex functions; duality theorems;

D O I：

10.1006/jmaa.2000.6715

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive necessary and sufficient optimality conditions for the discrete minimax programming problem with subdifferentiable (T, rho, theta)-convex set functions. Then we apply these optimally criteria to construct two model of parameter-free dual problems and a third model of another dual problem. We also establish weak, strong, and strictly converse duality theorems. (C) 2000 Academic Press.

引用

页码：442 / 465

页数：24

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