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Criteria of strong nearest-cross points and strong best approximation pairs
Author(s) -
Pan Wen-xi,
Jingshi Xu
Publication year - 2006
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2006.1931
Subject(s) - mathematics , generalization , uniqueness , point (geometry) , k nearest neighbors algorithm , combinatorics , discrete mathematics , mathematical analysis , geometry , computer science , artificial intelligence
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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