Strong uniqueness of the restricted Chebyshev center with respect to an RS-set in a Banach space

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Strong uniqueness of the restricted Chebyshev center with respect to an RS-set in a Banach space

Let G be a strict RS-set (resp. an RS-set) in X and let F be a bounded (resp. totally bounded) subset of X satisfying rG(F )> rX(F ), where rG(F ) is the restricted Chebyshev radius of F with respect to G. It is shown that the restricted Chebyshev center of F with respect to G is strongly unique in the case when X is a real Banach space, and that, under some additional convexity assumptions, th...

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ژورنال

عنوان ژورنال: Journal of Approximation Theory

سال: 2005

ISSN: 0021-9045

DOI: 10.1016/j.jat.2005.03.003