On Chebyshev centers in metric spaces | Zendy

T. D. Narang | Zendy

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On Chebyshev centers in metric spaces

Author(s) -

T. D. Narang

Publication year - 2019

Publication title -

publications de l institut mathematique

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.

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