Relation between the constant rank and the relaxed constant rank constraint qualifications

摘要

This article discusses a relation between the constant rank constraint qualification (CRCQ) and the recently proposed relaxed constant rank constraint qualification (RCRCQ). We show that a parametric constraint system satisfying the RCRCQ is locally diffeomorphic to a system satisfying the CRCQ. We use this result to extend some existing results for the CRCQ to the RCRCQ, establish a relation between the RCRCQ and the Mangasarian-Fromovitz constraint qualification, and obtain a weakened version of the Aubin property under the RCRCQ.View full textDownload full textKeywordsconstraint qualification, constant rank, error bound, Aubin propertyAMS Subject Classiffications:90C30, 90C31, 49J53, 54C60Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/02331934.2010.527972