Hyperstability of the generalized multi-Drygas equation in complete b-metric Abelian groups

Abstract

The aim of this research is first to introduce and solve a certain class of generalized multi-Drygas equations. Under suitable assumptions, we prove an interesting result concerning the hyperstability of the generalized multi-Drygas functional equation in complete b-metric Abelian group by using the fixed point approach (cf. Dung and Hang (2018) [21], Theorem 2.1). This research improves and extends the results obtained in EL-Fassi et al. (2023) [26], Aiemsomboon and Sintunavarat (2017) [3], EL-Fassi (2017) [23], Piszczek and Szczawińska (2013) [49]. Some applications of our results are also presented.