On relative Hausdorff measures of noncompactness and relative Chebyshev radii in Banach spaces-Reference-Cited by-同舟云学术

On relative Hausdorff measures of noncompactness and relative Chebyshev radii in Banach spaces

Published:1996 Issue:8 Volume:124 Page:2465-2474
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Wisnicki Andrzej,Wosko Jacek

Abstract

In this paper we prove some formulae and evaluations on relative Hausdorff measures of noncompactness and relative Chebyshev radii in various Banach spaces. We generalize the Lifschitz constant κ ( X ) \kappa (X) and introduce a function κ ~ X ( ⋅ ) \tilde {\kappa }_X(\cdot ) .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-08/S0002-9939-96-03374-6/S0002-9939-96-03374-6.pdf

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