On Hyperstability of the Cauchy Functional Equation in n -Banach Spaces

Janusz Brzdęk and El-sayed El-hady
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Janusz Brzdęk: Faculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicza 30, 30-059 Kraków, Poland
El-sayed El-hady: Mathematics Department, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia

Mathematics, 2020, vol. 8, issue 11, 1-12

Abstract: We present some hyperstability results for the well-known additive Cauchy functional equation f ( x + y ) = f ( x ) + f ( y ) in n -normed spaces, which correspond to several analogous outcomes proved for some other spaces. The main tool is a recent fixed-point theorem.

Keywords: hyperstability; cauchy functional equation; n -norm; n -Banach space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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