On Almost Everywhere K-Additive Set-Valued Maps

On Almost Everywhere K-Additive Set-Valued Maps

Let X be an Abelian group, Y be a commutative monoid, K ⊂Y be a submonoid and F : X → 2Y \ {∅} be a set-valued map. Under some additional assumptions on ideals ℐ1 in X and ℐ2 in X2, we prove that if F is ℐ2-almost everywhere K-additive, then there exists a unique up to K K-additive set-valued map G...

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Bibliographic Details
Main Author: Jabłońska Eliza
Format: Article
Language:English
Published: Sciendo 2024-03-01
Series:Annales Mathematicae Silesianae
Subjects:
monoid
abelian group
k-additive set-valued map
ideal
almost everywhere
39b52
39b82
26e25
Online Access:https://doi.org/10.2478/amsil-2023-0025

Internet

https://doi.org/10.2478/amsil-2023-0025

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