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

  • Pan, Wenxi [1] ; Xu, Jingshi [2]
    1. [1] Jinan University

      Jinan University

      China

    2. [2] Hunan Normal University

      Hunan Normal University

      China

  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 7, Nº. 1, 2006, págs. 41-50
  • Idioma: inglés
  • DOI: 10.4995/agt.2006.1931
  • Enlaces
  • Resumen
    • 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.

  • Referencias bibliográficas
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    • A. A. Tolstonogov, Strongly exposed points of decomposable sets in spaces of Bochner integrable functions, Mathematical Notes 71 (2002), 267-275....
    • Q. Wang, W. Pan, New concept of normal separation of two sets and its properties, Acta Sci. Nat. Univ. Sunyatseni (Chinese), 39(6) (2000),...

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