Open AccessOn Chebyshev centers in metric spaces
Author(s) -
T. D. Narang
Publication year - 2019
Publication title -
publications de l'institut mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim1920047n
Subject(s) - metric space , mathematics , chebyshev filter , metric (unit) , uniqueness , point (geometry) , space (punctuation) , set (abstract data type) , center (category theory) , pure mathematics , discrete mathematics , mathematical analysis , computer science , geometry , operations management , chemistry , crystallography , economics , programming language , operating system
A Chebyshev center of a set A in a metric space (X,d) is a point of X best approximating the set A i.e., it is a point x0 ? X such that supy?A d(x0,y) = infx?X supy?A d(x,y). We discuss the existence and uniqueness of such points in metric spaces thereby generalizing and extending several known result on the subject.