Author:
Huotari R.,Prophet M.P.,Shi J.
Abstract
We characterise the relative Chebyshev centre of a compact subsetFof a real Banach space in terms of the Gateaux derivative of the distance to farthest points. We present a relative-Chebyshev-centre characterisation of Hilbert space. In Hilbert space we show that the relative Chebyshev centre is in the closed convex hull of the metric projection ofF, and we estimate the relative Chebyshev radius ofF.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. On a constrained optimal location algorithm;Journal of Computational Analysis and Applications;2003
2. CONSTRAINED OPTIMAL LOCATION;Numerical Functional Analysis and Optimization;2001-03-31