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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

Keywords: Weak quasi convex set,best approximation,best simultaneous approximation
弱拟凸集
,最佳逼近,最佳联合逼近

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Abstract:

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.

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