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The existence of best proximity points in metric spaces with the property UC

✍ Scribed by Tomonari Suzuki; Misako Kikkawa; Calogero Vetro


Book ID
108216268
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
516 KB
Volume
71
Category
Article
ISSN
0362-546X

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Proximity searches become very difficult on "high dimensional" metric spaces, that is, those whose histogram of distances has a large mean and/or a small variance. This so-called "curse of dimensionality", well known in vector spaces, is also observed in metric spaces. The search complexity grows sh