On Approximately p-Wright Affine Functions in Ultrametric Spaces

We prove some results for mappings taking values in ultrametric spaces and satisfying approximately a generalization of the equation of p-Wright affine functions. They are motivated by the notion of stability for functional equations.

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Main Authors: Anna Bahyrycz, Janusz Brzdęk, Magdalena Piszczek
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/723545
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author Anna Bahyrycz
Janusz Brzdęk
Magdalena Piszczek
author_facet Anna Bahyrycz
Janusz Brzdęk
Magdalena Piszczek
author_sort Anna Bahyrycz
collection DOAJ
description We prove some results for mappings taking values in ultrametric spaces and satisfying approximately a generalization of the equation of p-Wright affine functions. They are motivated by the notion of stability for functional equations.
format Article
id doaj-art-ef47565aaa0c4519a593e6586c719961
institution Kabale University
issn 0972-6802
1758-4965
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces and Applications
spelling doaj-art-ef47565aaa0c4519a593e6586c7199612025-02-03T05:49:36ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/723545723545On Approximately p-Wright Affine Functions in Ultrametric SpacesAnna Bahyrycz0Janusz Brzdęk1Magdalena Piszczek2Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, PolandDepartment of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, PolandDepartment of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, PolandWe prove some results for mappings taking values in ultrametric spaces and satisfying approximately a generalization of the equation of p-Wright affine functions. They are motivated by the notion of stability for functional equations.http://dx.doi.org/10.1155/2013/723545
spellingShingle Anna Bahyrycz
Janusz Brzdęk
Magdalena Piszczek
On Approximately p-Wright Affine Functions in Ultrametric Spaces
Journal of Function Spaces and Applications
title On Approximately p-Wright Affine Functions in Ultrametric Spaces
title_full On Approximately p-Wright Affine Functions in Ultrametric Spaces
title_fullStr On Approximately p-Wright Affine Functions in Ultrametric Spaces
title_full_unstemmed On Approximately p-Wright Affine Functions in Ultrametric Spaces
title_short On Approximately p-Wright Affine Functions in Ultrametric Spaces
title_sort on approximately p wright affine functions in ultrametric spaces
url http://dx.doi.org/10.1155/2013/723545
work_keys_str_mv AT annabahyrycz onapproximatelypwrightaffinefunctionsinultrametricspaces
AT januszbrzdek onapproximatelypwrightaffinefunctionsinultrametricspaces
AT magdalenapiszczek onapproximatelypwrightaffinefunctionsinultrametricspaces