Characterizations of error bounds for convex multifunctions on Banach spaces
成果类型：
Article
署名作者：
Ng, KF; Zheng, XY
署名单位：
Chinese University of Hong Kong; Yunnan University
刊物名称：
MATHEMATICS OF OPERATIONS RESEARCH
ISSN/ISSBN：
0364-765X
DOI：
10.1287/moor.1030.0078
发表日期：
2004
页码：
45-63
关键词：
摘要：
In terms of various derivatives such as contingent derivative and Dini-derivative, we give a series of characterizations of error bounds for convex multifunctions defined on Banach spaces, extending Lewis and Pang's result on a characterization of the existence of global error bounds for approximate solutions of convex inequalities in Euclidean spaces. Applications are given not only to improve some known results but also to provide new results on the existence of error bounds for not necessarily lower semicontinuous convex functions.