Minimum functional equation and some Pexider-type functional equation on any group
We discuss the solution to the minimum functional equation $ \begin{align} \min \{\, \eta(xy^{-1}), \eta(xy) \, \} = \eta(x)\eta(y), \qquad x, y \in G, \end{align} $ for a real-valued function $ \eta: G \to \mathbb{R} $ defined on arbitrary group $ G $. In addition, we examine the Pexider-...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2021-08-01
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Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021656?viewType=HTML |