Necessary and sufficient constraint qualifications for solvability of systems of infinite convex inequalities
نویسندگان
چکیده
منابع مشابه
On Basic Constraint Qualifications for Infinite System of Convex Inequalities in Banach Spaces
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.
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2008
ISSN: 0362-546X
DOI: 10.1016/j.na.2006.12.014