最佳同时逼近的特征与唯一性

Characterization and Unicity for Best Simultaneous Approximations

本文对Banach空间中一类非凸集给出最佳同时逼近的特征和唯一性定理,从而推广和加强了他人近几年来的结果。同时,我们的结果也是他人结果的一个简单证明。另外,我们还给出了最佳同时逼近的强唯一性定理。

In this paper we give the characterization and unigueness theorems for best simultaneous approximations from subsets of a Banach space,which is not only cnvex, and develop the results obtained by the other authors in recent years. Furthmore, the strong unigueness theorem is given, too.