| Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized （η,ρ）-Invex Functions |
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| 引用本文： | G.J. Zalmai Qing-hong Zhang. Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized （η,ρ）-Invex Functions[J]. 应用数学学报(英文版), 2007, 23(3): 353-376. DOI: 10.1007/s10255-007-0377-0 |
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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： | 2005-12-30 |
| 修稿时间： | 2005-12-302006-11-23 |
Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-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. DOI: 10.1007/s10255-007-0377-0 |
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| Authors: | G. J. Zalmai Qing-hong Zhang |
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| Affiliation: | (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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