Directional Derivatives of Difference Functions of Nonsmooth Max-functions  

作　　者：Lu-lin Tan 

机构地区：[1]School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

出　　处：《Acta Mathematicae Applicatae Sinica》2010年第3期495-502,共8页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 10801137)

摘　　要：In this paper, we give an upper estimate for the Clarke-Rockafellar directional derivatives of a function of the form f - g, where f, g are max-functions defined by locally Lipschitz but not necessarily differentiable functions on a closed convex set in a Euclidean space. As an application, we give a sufficient condition for f - g to have an error bound.In this paper, we give an upper estimate for the Clarke-Rockafellar directional derivatives of a function of the form f - g, where f, g are max-functions defined by locally Lipschitz but not necessarily differentiable functions on a closed convex set in a Euclidean space. As an application, we give a sufficient condition for f - g to have an error bound.

关 键 词：Clarke-rockafellar directional derivatives generalized directional derivatives rademacher theorem dini-directional derivatives max-functions error bound 

分 类 号：O221.2[理学—运筹学与控制论] TU311.2[理学—数学]