半E-凸函數(shù)在半無限分式規(guī)劃中的參數(shù)對偶模型.pdf

1、河北工業(yè)大學(xué)碩士學(xué)位論文半E-凸函數(shù)在半無限分式規(guī)劃中的參數(shù)對偶模型姓名：張盛林申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：何華2010-12? E-à¼ê3?Ã?©ª5y¥?ëêéó?.PARAMETRIC DUALITY MODELS FOR SEMI-INFINITEFRACTIONAL PROGRAMMING PROBLE

2、MS INVOLVINGSEMI-E-CONVEX FUNCTIONSABSTRACTA semi-infinite programming problem is a mathematical programmingwith a finite number of variables and infinitely many constraints. Dualitytheories and generalized convexity con

3、cepts are important research topicsin mathematical programming.In this paper, we introduce some definition for semi-E-convex, quasi-semi-E-convex and pseudo-semi-E-convex and discuss their basic proper-ties, and establis

4、h some optimality conditions for a fractional programminginvolving semi-E-convex and related functions. These optimality criteria areutilized as a basic for constructing parametric dual model I and other para-metric dual

5、 model II (Wolfe type dual, Mond-Weir type dual and a mixedtype dual which unified the Wolfe type dual and Mond-Weir type) undersemi-E-convex functions. Furthermore, we establish three duality theorems:weak duality, stro

6、ng duality and strict converse duality theorems,and provethat optimal values of the primal problem.This paper contains six chapters. We introduced significance of the sub-ject, research present situation and the content

7、of the paper in the firstchapter; In chapter II, we present some function’s basic knowledge andsome optimality conditions for a fractional programming; In chapter III;we construct dual model I and establish three duality

8、 theorems: weak dual-ity, strong duality and strict converse duality theorems; In chapter IV, weconstruct dual model II and establish three duality theorems: weak duality,strong duality and converse duality; In chapter V

9、, we remark for furtherdevelopment. We make a summary of the full text in the last chapter.KEY WORDS: semi-E-convex functions, quasi-semi-E-convex,pseudo-semi-E-convex, semi-infinite fractional programming, optimal-ity c