On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on Semigroups

M. Sirouni, S. Kabbaj and Victor Kovtunenko

Abstract and Applied Analysis, 2023, vol. 2023, 1-7

Abstract: In this paper, we study the hyperstability problem for the well-known σ-Jensen’s functional equation fxy+fxσy=2fx for all x,y∈S, where S is a semigroup and σ is an involution of S. We present sufficient conditions on E⊂℠+S2 so that the inhomogeneous form of σ-Jensen’s functional equation fxy+fxσy=2fx+φx,y for all x,y∈S, where the inhomogeneity φ is given, can be E-hyperstable on S.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:1749302

DOI: 10.1155/2023/1749302

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