On Basic Constraint Qualifications for Infinite System of Convex Inequalities in Banach Spaces

Authors
Ye, Xin Tao Li, Chong
Citation
Ye, Xin Tao et Li, Chong, On Basic Constraint Qualifications for Infinite System of Convex Inequalities in Banach Spaces, Acta mathematica Sinica. English series (Print) , 23(1), 2007, pp. 65-76
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
1
Year of publication
2007
Pages
65 - 76
Database
ACNP
SICI code
Abstract
The BCQ and the Abadie CQ for infinite systems of convex inequalities in Banach spaces are characterized in terms of the upper semi.continuity of the convex cones generated by the subdifferentials of active convex functions. Some relationships with other constraint qualifications such as the CPLV and the Slate condition are also studied. Applications in best approximation theory are provided.