一類E-凸函數(shù)及在最優(yōu)化中的應(yīng)用.pdf

1、河北工業(yè)大學(xué)碩士學(xué)位論文一類E-凸函數(shù)及在最優(yōu)化中的應(yīng)用姓名：郝英申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：何華20071201Z 3 E- ? : W a ? L s P / h j pA CLASS OF E-CONVEX FUNCTION AND APPLICATION INOPTIMIZATIONABSTRACTThere are a large number of non-convex functions in practic

2、al problems, andthey have similar nature in the non-linear programming as convex functions. Inorder to enlarge their applications, this paper mainly studies a class of importantgeneralized convex function — E-convex func

3、tion, and gives some criterias of a classof E-convex functions . We not only introduce the concept of pseudo-E- monotoneand quasi-E- monotone, discuss the relationships between a class of E-convex func-tion and their gra

4、dients , we also give applications on this type of E-convex functionin the E-convex programming.This paper contains five chapters. We introduced significance of the subject ,research present situation and the content of

5、the paper in the first chapter; Inchapter II, we presented some basic knowledge and gived a class of E-convex functionof criterias; Next the applications on a class of E-convex function in the optimizationtheory are disc

6、ussed in chapter III; In chapter IV, the relationships between a classof E-convex function and their gradients are studied. We made a summary of thefull text and presented some problems of this topic to be thought in the