Vol. 24 (2013)
Articles

An Extension of an Additive Selection Theorem of Z. Gajdaand R. Ger to Vector Relator Spaces

Árpád Száz
Institute of Mathematics, University of Debrecen, H-4010 Debrecen, Pf. 12, Hungary

Published 2013-01-15

Keywords

  • Subadditive relations,
  • vector relators,
  • Hyers - Ulam stability

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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