Articles
Published 2013-01-15
Keywords
- Subadditive relations,
- vector relators,
- Hyers - Ulam stability
Copyright (c) 2025 Scientia Series A: Mathematical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Árpád Száz. (2013). An Extension of an Additive Selection Theorem of Z. Gajdaand R. Ger to Vector Relator Spaces. Scientia Series A: Mathematical Sciences, 24, 33-54. https://revistas.usm.cl/scientia/article/view/210
Abstract
We prove an extension of an additive selection theorem of Z. Gajda and R. Ger to closed-valued, 2–sublinear relations of commutative semigroups to sequentially complete vector relator spaces. Thus, we obtain a further generalization of the classical Hyers–Ulam stability theorem.
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