Generalized parameter-free duality models in discrete minmax fractional programming based on second-order optimality conditions

被引：0

作者：

Zalmai G.J. ^{[1
]}

Verma R.U. ^{[2
]}

机构：

[1] Department of Mathematics and Computer Science, Northern Michigan University, Marquette, 49855, MI

[2] Department of Mathematics, University of North Texas, Denton, 76201, TX

来源：

Mathematical Sciences | 2016年 / 10卷 / 4期

关键词：

Discrete minmax fractional programming; Duality theorems; Generalized parameter-free duality models; Generalized second-order (F; β; ϕ; ρ; θ; m)-univex;

D O I：

10.1007/s40096-016-0193-x

中图分类号：

学科分类号：

摘要：

In this paper, we construct six generalized second-order parameter-free duality models, and prove several weak, strong, and strict converse duality theorems for a discrete minmax fractional programming problem using two partitioning schemes and various types of generalized second-order (F, β, ϕ, ρ, θ, m) -univexity (more compactly, ’second-order univexity’ is referred to as ’sounivexity’) assumptions. The obtained results are new and generalize most of results on discrete minmax fractional programming involving the second-order invexity as well as on second-order univexity in the literature. © 2016, The Author(s).

引用

页码：185 / 199

页数：14

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