Convexification of Nonsmooth Monotone Functions1

被引：0
|
作者：
X. L. Sun
H. Z. Luo
D. Li
机构：
[1] Fudan University,Department of Management Science, School of Management
[2] Shanghai University,Department of Mathematics
[3] Zhejiang University of Technology,Department of Applied Mathematics
[4] Chinese University of Hong Kong,Department of Systems Engineering and Engineering Management
来源：
Journal of Optimization Theory and Applications | 2007年 / 132卷
关键词：
Global optimization; nonsmooth optimization; semismooth functions; convexification methods;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a convexification method for a class of nonsmooth monotone functions. Specifically, we prove that a semismooth monotone function can be converted into a convex function via certain convexification transformations. The results derived in this paper lay a theoretical base to extend the reach of convexification methods in monotone optimization to nonsmooth situations.
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页码：339 / 351
页数：12
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