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-...

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Bibliographic Details
Main Authors: Muhammad Sarfraz, Yongjin Li
Format: Article
Language:English
Published: AIMS Press 2021-08-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021656?viewType=HTML