On behaviour of holomorphically contractible systems under non-monotonic sequences of sets

2015/07/16 by Arkadiusz Lewandowski, Lewandowski, Arkadiusz
Computer Science · Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Fixed Point Theorems Analysis #Optimization and Variational Analysis #Primary 32F45 #Secondary 32H02 #math.CV #msc:32F45 #msc:32H02

paper · pdf · doi:10.48550/arxiv.1507.04681

6 pages

openalex publication_date 2015/07/16 · arxiv created 2015/07/17 · arxiv updated 2015/07/21 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

The new results concerning the continuity of holomorphically contractible systems treated as set functions with respect to non-monotonic sequences of sets are given. In particular, continuity properties of Kobayashi and Carathéodory pseudodistances, as well as Lempert and Green functions with respect to sequences of domains converging in Hausdorff metric are delivered.

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