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

作　　者：Xin Tao YE Chong LI 

机构地区：[1]Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China [2]Department of Mathematics, Nanjing Xiaozhuang Institute, Nanjing 210038, P. R. China [3]Department of Mathematics, Zhejiang University, Hangzhou 310027, P, R, China

出　　处：《Acta Mathematica Sinica,English Series》2007年第1期65-76,共12页数学学报（英文版）

基　　金：the National Natural Science Foundation of China(Grant No 10271025);Program for New Century Excellent Talents in University

摘　　要：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.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.

关 键 词：system of convex inequalities basic constraint qualification Abadie constraint qualification best approximation 

分 类 号：O17[理学—数学]