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ArticleOriginal scientific text

Title

On some generalized invariant means and their application to the stability of the Hyers-Ulam type

Authors 1

Affiliations

  1. Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

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.

Keywords

ENG
Hyers-Ulam stability theorem, invariant mean, binary intersection property

Bibliography

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Annales Polonici Mathematici
1993/58/2
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Pages:
147-159
Main language of publication
English
Received
1992-06-17
Accepted
1993-01-27
Published
1993
Exact and natural sciences