On some generalized invariant means and their application to the stability of the Hyers-Ulam type
Volume 58 / 1993
Annales Polonici Mathematici 58 (1993), 147-159
DOI: 10.4064/ap-58-2-147-159
Abstract
We present some extension of the concept of an invariant mean to a space of vector-valued mappings defined on a semigroup. Next, we apply it to the study of the stability of some functional equation.