On a linear functional equation with a mean-type mapping having no fixed points

Katarzyna Sajbura

ArticleOriginal scientific text

Title

On a linear functional equation with a mean-type mapping having no fixed points

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Affiliations

Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland

Abstract

Our aim is to study continuous solutions φ of the classical linear iterative equation φ(f(x,y)) = g(x,y)φ(x,y) + h(x,y), where the given function f is defined as a pair of means. We are interested in the case when f has no fixed points. In turns out that in such a case continuous solutions of (1) depend on an arbitrary function.

Keywords

ENG

linear functional equation, iteration, mean, continuous solution, solution depending on an arbitrary function

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Title

On a linear functional equation with a mean-type mapping having no fixed points

Affiliations

Abstract

Keywords

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