BCQ and Strong BCQ for Nonconvex Generalized Equations with Applications to Metric Subregularity
Optimization and Control
2015-02-25 v1
Abstract
In this paper, based on basic constraint qualification (BCQ) and strong BCQ for convex generalized equation, we are inspired to further discuss constraint qualifications of BCQ and strong BCQ for nonconvex generalized equation and then establish their various characterizations. As applications, we use these constraint qualifications to study metric subregularity of nonconvex generalized equation and provide necessary and/or sufficient conditions in terms of constraint qualifications considered herein to ensure nonconvex generalized equation having metric subregularity.
Keywords
Cite
@article{arxiv.1502.06317,
title = {BCQ and Strong BCQ for Nonconvex Generalized Equations with Applications to Metric Subregularity},
author = {Liyun Huang and Qinghai He and Zhou Wei},
journal= {arXiv preprint arXiv:1502.06317},
year = {2015}
}
Comments
17 pages