Hyers–Ulam Stability of Wilson’s Functional Equation

Elqorachi, Elhoucien; Youssef, Manar; Rassias, Themistocles M.

doi:10.1007/978-3-319-31317-7_10

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Cited by 3 publications

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“…This involves an interesting generalization of the class of bounded functions on a group or semigroup. For a series of interesting stability and superstability results, one is also reffered to the following works [20,21,[42][43][44][45][46][47][48][49][50][51][52][53][54] Bouikhalene and Elqorachi [55] for general groups.…”

Section: Introductionmentioning

confidence: 99%

Generalized Hyers-Ulam Stability of Trigonometric Functional Equations

Elqorachi

Rassias

2018

Mathematics

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In the present paper we study the generalized Hyers-Ulam stability of the generalized trigonometric functional equationswhere S is a semigroup, σ: S −→ S is a involutive morphism, and µ: S −→ C is a multiplicative function such that µ(xσ(x)) = 1 for all x ∈ S. As an application, we establish the generalized Hyers-Ulam stability theorem on amenable monoids and when σ is an involutive automorphism of S.

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Section: Introductionmentioning

confidence: 99%

Generalized Hyers-Ulam Stability of Trigonometric Functional Equations

Elqorachi

Rassias

2018

Mathematics

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“…the books of Czerwik [15], Hyers, Isac and Rassias [3]). In the similar way, using different methods, the stability problems for several functional equations have been extensively investigated by serval mathematicians( [4][5][6][7], [12][13][14], [21][22][23][24] ).…”

Section: Introductionmentioning

confidence: 99%