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On Modulus of Noncompact Convexity and Its Properties

Published online by Cambridge University Press:  20 November 2018

Józef Banaś
Józef Banaś*
Affiliation:
Department of Mathematics Technical University of Rzeszów 35-084 Rzeszów, Poznańska 2, Poland
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Abstract

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In this paper we prove some properties of the so-called modulus of noncompact convexity. This notion was recently introduced by K. Goebel and T. Sȩkowski [6] and it appears to be an interesting and useful generalization of the classical Clarkson modulus of convexity. We extend the results obtained in [6] showing that the modulus of noncompact convexity is continuous and has some extra properties in reflexive Banach spaces. The properties applicable in the fixed point theory are also stated.

Keywords

46B20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 2 , 01 June 1987 , pp. 186 - 192
Copyright
Copyright © Canadian Mathematical Society 1987

References

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