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

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.