Abstract
Inspired by the papers by Abbas, Aczél and by Chudziak and Tabor, we consider the problem of existence and uniqueness of extensions for the generalized Pexider equation
where D is a nonempty open subset of a normed space. We show that the connectedness of D, assumed in the mentioned above papers, can be weakened.
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Chudziak, M., Sobek, B. Generalized Pexider Equation on an Open Domain. Results Math 71, 1359–1372 (2017). https://doi.org/10.1007/s00025-016-0573-4
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DOI: https://doi.org/10.1007/s00025-016-0573-4