Applied General Topology (Apr 2006)

Criteria of strong nearest-cross points and strong best approximation pairs

  • Wenxi Pan,
  • Jingshi Xu

DOI
https://doi.org/10.4995/agt.2006.1931
Journal volume & issue
Vol. 7, no. 1
pp. 41 – 50

Abstract

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The concept of strong nearest-cross point (strong n.c. point) is introduced, which is the generalization of strong uniqueness of best approximation from a single point. The relation connecting to localization is discussed. Some criteria of strong n.c. points are given. The strong best approximation pairs are also studied.

Keywords