| Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized （η,ρ）-Invex Functions |
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| 作者姓名： | G.J. Zalmai Qing-hong Zhang |
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| 作者单位： | Department of Mathematics and Computer Science, Northern Michigan University, Marquette, Michigan 49855,USA |
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| 摘 要： | A semi-infinite programming problem is a mathematical programming problem with a finite number of variables and infinitely many constraints. Duality theories and generalized convexity concepts are important research topics in mathematical programming. In this paper, we discuss a fairly large number of paramet- ric duality results under various generalized （η,ρ）-invexity assumptions for a semi-infinite minmax fractional programming problem.
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| 关 键 词： | 二元性 参数 数学 程序设计 |
| 收稿时间： | 30 December 2005 |
| 修稿时间： | 2005-12-302006-11-23 |
Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (<Emphasis Type="Italic">η,ρ</Emphasis>)-Invex Functions |
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| G.J. Zalmai Qing-hong Zhang.Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-Invex Functions[J].Acta Mathematicae Applicatae Sinica,2007,23(3):353-376. |
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| Authors: | G J Zalmai Qing-hong Zhang |
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| Institution: | (1) Department of Mathematics and Computer Science, Northern Michigan University, Marquette, Michigan 49855, USA |
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| Abstract: | Abstract
A semi-infinite programming problem is a mathematical programming problem with a finite number of variables and infinitely
many constraints. Duality theories and generalized convexity concepts are important research topics in mathematical programming.
In this paper, we discuss a fairly large number of parametric duality results under various generalized (η, ρ)-invexity assumptions for a semi-infinite minmax fractional programming problem. |
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| Keywords: | Semi-infinite programming discrete minmax fractional programming generalized invex functions infinitely many equality and inequality constraints parametric duality models duality theorems |
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