SIP: critical value functions have finite modulus of non-convexity
成果类型：
Article
署名作者：
Dorsch, D.; Guerra-Vazquez, F.; Guenzel, H.; Jongen, H. Th.; Rueckmann, J. -J.
署名单位：
University of Birmingham; RWTH Aachen University; Universidad Americas Puebla (UDLAP)
刊物名称：
MATHEMATICAL PROGRAMMING
ISSN/ISSBN：
0025-5610
DOI：
10.1007/s10107-012-0554-7
发表日期：
2012
页码：
133-154
关键词：
摘要：
We consider semi-infinite programming problems depending on a finite dimensional parameter . Provided that is a strongly stable stationary point of , there exists a locally unique and continuous stationary point mapping . This defines the local critical value function , where denotes the objective function of for a given parameter vector . We show that is the sum of a convex function and a smooth function. In particular, this excludes the appearance of negative kinks in the graph of .