A few properties of the Kobayashi distance and their applications
Keywords
The Denjoy-Wolff theorem, fixed-point-free mappings, holomorphic mappings, iterations of condensing mappings, the Kobayashi distance, Kuratowski's measure of noncompactness, nonexpansive mappingsAbstract
Let $N$ be a norming set in a Banach space $X$. In this paper we prove the lower semicontinuity with respect to the topology $\sigma( X,N)$ of the Kobayashi distance in a bounded, relatively compact in $\sigma ( X,N) $, convex and open subset of a Banach space. We apply this result to the Denjoy-Wolff type theorem.Downloads
Published
2000-03-01
How to Cite
1.
KAPELUSZNY, Jarosław and KUCZUMOW, Tadeusz. A few properties of the Kobayashi distance and their applications. Topological Methods in Nonlinear Analysis. Online. 1 March 2000. Vol. 15, no. 1, pp. 169 - 177. [Accessed 29 March 2024].
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