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


  • Wenxi Pan Jinan University
  • Jingshi Xu Hunan Normal University



Strong nearest-cross point, Local strong nearest-cross point, Strong best approximation pair


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.


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Author Biographies

Wenxi Pan, Jinan University

Department of Mathematics

Jingshi Xu, Hunan Normal University

Department of Mathematics


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How to Cite

W. Pan and J. Xu, “Criteria of strong nearest-cross points and strong best approximation pairs”, Appl. Gen. Topol., vol. 7, no. 1, pp. 41–50, Apr. 2006.



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