A few properties of the Kobayashi distance and their applications
Słowa kluczowe
The Denjoy-Wolff theorem, fixed-point-free mappings, holomorphic mappings, iterations of condensing mappings, the Kobayashi distance, Kuratowski's measure of noncompactness, nonexpansive mappingsAbstrakt
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.Pobrania
Opublikowane
2000-03-01
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KAPELUSZNY, Jarosław & KUCZUMOW, Tadeusz. A few properties of the Kobayashi distance and their applications. Topological Methods in Nonlinear Analysis [online]. 1 marzec 2000, T. 15, nr 1, s. 169–177. [udostępniono 22.7.2024].
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