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| 关于次微分convexificator与exhauster关系的一个结果 | |
| 引用本文： | 姜昆,李晓锋,李永霞.关于次微分convexificator与exhauster关系的一个结果[J].汕头大学学报(自然科学版),2011,26(4):1-4. |
| 作者姓名： | 姜昆 李晓锋 李永霞 |
| 作者单位： | 1. 牡丹江师范学院数学系,黑龙江牡丹江,157012 2. 吉林大学数学研究所应用数学系,吉林长春,130012 3. 牡丹江市第二中学,黑龙江牡丹江,157000 |
| 摘 要： | 从次微分convexificator和exhauster的概念出发,在局部Lipschitz条件下,应用函数的上凸(下凹)逼近的exhaustive族存在性定理,并结合已有的相关结论,得出必存在上exhauster和上半正则convexificator,分别记为E*h和坠*f(x),使得坠*f(x)∈E*h. |
| 关 键 词： | 次微分 convexificator exhauster 局部Lipschitz |
A Result on the Relation of Subdifferential Convexificator and Exhauster |
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| JIANG Kun,LI Xiao-feng,LI Yong-xia.A Result on the Relation of Subdifferential Convexificator and Exhauster[J].Journal of Shantou University(Natural Science Edition),2011,26(4):1-4. | |
| Authors: | JIANG Kun LI Xiao-feng LI Yong-xia |
| Affiliation: | JIANG Kun1,LI Xiao-feng2,LI Yong-xia3(1.Department of Mathematics,Mudanjiang Normal College,Mudanjiang 157012,Heilongjiang,China,2.Department of Applied Mathematics of Institute of Mathematics,Jilin University,Changchun 130012,Jilin,3.The Second High School of Mudanjiang City,Mudanjiang 157000,China) |
| Abstract: | From the subdifferential concepts of convexificator and exhauster under the condition of Lipschitz and by applying the existence theorem of exhaustive families of upper convex and lower concave approximations as well as the relative results, a conclusion is drawn that there should exist upper exhauster and upper-half regular convexificator, i.e., E＊h and ＊f（x） with the relation of ＊ f（x）∈E＊h. |
| Keywords: | subdifferential convexificator exhauster local Lipschitz |
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