%0 Journal Article
%T GENERALIZED STRONG UNICITY OF NONLINEAR BEST APPROXIMATION IN BANACH SPACES<br>Banach 空间中非线性最佳逼近的广义强唯一性
%A Shi Ying XU
%A <br>徐士英
%J 系统科学与数学
%D 1999
%I 
%X Let X be a uniformly convex space, G a sunset of X. R.Smarzewski proved that a best approximation g implied by G to element x implied by X must have the generalized strong unicity. In this paper, we study the inverse problem, that is, under the condition that the best approximation is a generalized strongly unique best approximation, we study the convexity of spaces and the solar properties of approximation sets.
%K Nonlinear best approximation
%K uniformly convex space
%K generalized strongunicity
%K sun set<br>非线性最佳逼近
%K 一致凸空间
%K 广义强唯一性
%K 太阳集
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=A205B409F6934CA9&yid=B914830F5B1D1078&vid=2A8D03AD8076A2E3&iid=CA4FD0336C81A37A&sid=92E739FCADD7E6BB&eid=835DD7974C6B1117&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0