%0 Journal Article
%T SOME REMARKS ON THE CHARACTERIZATION OF BEST APPROXIMATIONS FOR WEAK QUASI CONVEX SET
关于弱拟凸集与广义凸集逼近的几点注记
%A Xu Shiying
%A He Guolong
%A
徐士英
%J 系统科学与数学
%D 1997
%I
%X This note concerns two papers by Guo Yuanming1,2]. By introducing the concept of solar point, and by proving that each closed weak quasi-convex set must be convex in normed linear spaces, we point out that the main theorems contained in 1, 2] are in fact for the case where the approximate set is convex and thus are known results. Even more related results can be further improved to more general cases.
%K Weak quasi convex set
%K best approximation
%K best simultaneous approximation
弱拟凸集
%K 最佳逼近
%K 最佳联合逼近
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=3BE758B4606C740BCCECA8469C990EA4&yid=5370399DC954B911&vid=BCA2697F357F2001&iid=E158A972A605785F&sid=965F4E89CD0AFC30&eid=315A3D008C6ECFC8&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0