SOME REMARKS ON THE CHARACTERIZATION OF BEST APPROXIMATIONS FOR WEAK QUASI CONVEX SET

Xu Shiying;He Guolong

Journal of Systems Science and Mathematical Sciences ›› 1997, Vol. 17 ›› Issue (4) : 372-375.

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Journal of Systems Science and Mathematical Sciences ›› 1997, Vol. 17 ›› Issue (4) : 372-375. DOI: 10.12341/jssms08349
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SOME REMARKS ON THE CHARACTERIZATION OF BEST APPROXIMATIONS FOR WEAK QUASI CONVEX SET

  • Xu Shiying;He Guolong
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Abstract

This note concerns two papers by Guo Yuanming[1,2]. 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]

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Weak quasi convex set / best approximation / best simultaneous approximation

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Xu Shiying. SOME REMARKS ON THE CHARACTERIZATION OF BEST APPROXIMATIONS FOR WEAK QUASI CONVEX SET. Journal of Systems Science and Mathematical Sciences, 1997, 17(4): 372-375 https://doi.org/10.12341/jssms08349
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