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

Authors

  • Wenxi Pan Jinan University
  • Jingshi Xu Hunan Normal University

DOI:

https://doi.org/10.4995/agt.2006.1931

Keywords:

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

Abstract

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

References

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W. Pan, Characterization of nearest-cross points in the problem of distance of two convex sets, J. Jinan Univ. (Natural Science) (Chinese), 20(3) (1999), 1-7.

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Q. Wang, W. Pan, New concept of normal separation of two sets and its properties, Acta Sci. Nat. Univ. Sunyatseni (Chinese), 39(6) (2000), 20-25.

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How to Cite

[1]
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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Articles