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Stability of Ternary Homomorphisms via Generalized Jensen Equation

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Abstract.

In this paper, we establish the generalized Hyers–Ulam–Rassias stability of homomorphisms between ternary algebras associated to the generalized Jensen functional equation \(rf{\left( {\frac{{sx + ty}}{r}} \right)}\, = \,sf(x)\, + tf(y)\).

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Authors and Affiliations

  1. Department of Mathematics, Ferdowsi University, P.O. Box 1159, Mashhad, 91775, Iran

    Mohammad Sal Moslehian

  2. Centre of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University, Iran

    Mohammad Sal Moslehian

  3. Institute of Mathematics, Lajos Kossuth University, 4010, Debrecen, Hungary

    László Székelyhidi

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  1. Mohammad Sal Moslehian
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  2. László Székelyhidi
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Correspondence to Mohammad Sal Moslehian.

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Moslehian, M.S., Székelyhidi, L. Stability of Ternary Homomorphisms via Generalized Jensen Equation. Result. Math. 49, 289–300 (2006). https://doi.org/10.1007/s00025-006-0225-1

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  • DOI: https://doi.org/10.1007/s00025-006-0225-1

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