关于非线性共同逼近的强唯一性

ON THE STRONG UNIQUENESS OF THE NONLINEAR SIMULTANEOUS APPROXIMATION

本文首先指出文献［１］中的一个错误，举例说明弱拟凸集的最佳逼近未必具有广义强唯一性，进而讨论两类共同逼近的强唯一性，在空间是一致凸、逼近集是共同太阳集的条件下。

In this paper, we first point out an error in paper , give an example to show that best approximation to weak quasi convex set may not be generalized strong unique, furthur, we study strong uniqueness of two classes of simultaneous approximation, proved that the best simultaneous approximation must be generalized strong unique suppose the space is uniformly convex and the approximationg set is simultaneous sun.