http://hdl.handle.net/20.500.12128/15491
Title: | Remarks connected with the weak limit of iterates of some randomvalued functions and iterative functional equations |
Authors: | Baron, Karol |
Keywords: | Banach space; Borel set; Borel subset; algebra |
Issue Date: | 2020 |
Citation: | "Annales Mathematicae Silesianae" Vol. 34, No 1 (2020), s. 36-44 |
Abstract: | The paper consists of two parts. At first, assuming that ( ;A; P) is a probability space and (X; %) is a complete and separable metric space with the -algebra B of all its Borel subsets we consider the set Rc of all B A- measurable and contractive in mean functions f : X ! X with finite integral R % (f(x; !); x) P(d!) for x 2 X, the weak limit f of the sequence of iterates of f 2 Rc, and investigate continuity-like property of the function f 7! f ; f 2 Rc, and Lipschitz solutions ' that take values in a separable Banach space of the equation |
URI: | http://hdl.handle.net/20.500.12128/15491 |
DOI: | 10.2478/amsil-2019-0015 |
ISSN: | 2391-4238 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Baron_remarks_connected_with_the_weak.pdf | 658,98 kB | Adobe PDF | View/Open |
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