http://hdl.handle.net/20.500.12128/12826
Title: | A singular behaviour of a set-valued approximate orthogonal additivity |
Authors: | Sikorska, Justyna |
Keywords: | orthogonally additive equation; approximately orthogonally additive function; quadratic equation; set-valued function; stability |
Issue Date: | 2016 |
Citation: | Results in Mathematics, Vol. 70, no. 1/2 (2016), s. 163-172 |
Abstract: | We show that unlikely to the single-valued case, the set-valued orthogonally additive equation is unstable. After presenting an example showing this phenomenon, we provide some special cases where a set-valued approximately orthogonally additive function can be approximated by the one which satisfies the equation of orthogonal additivity exactly. |
URI: | http://hdl.handle.net/20.500.12128/12826 |
DOI: | 10.1007/s00025-015-0468-9 |
ISSN: | 1422-6383 1420-9012 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Sikorska_A_singula_behaviour.pdf | 416,5 kB | Adobe PDF | View/Open |
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