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
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• 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.