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20042023
most citedLocal Lipschitz property of the map which puts in correspondence to N--net its Chebyshev center

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math.MG2006

The mapping of compact into the set of its Chebyshev centres is Lipschitz in the space l^n_{\infty}

Pyotr N. Ivanshin, Evgenii N. Sosov

In this article the authors prove strong stability of the set of all Chebyshev centres of the bounded closed subset of the metric space. We endow the set of all compacts of the spa…