Hom-derivations in C*-ternary Algebras |
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| Authors: | Yuan Feng JIN Choonkil PARK Michael Th RASSIAS |
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| Institution: | 1. Department of Mathematics, Yanbian University, Yanji 133001, P. R. China;
2. Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea;
3. Institute of Mathematics, University of Zurich, CH-8057, Zurich, Switzerland |
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| Abstract: | In this paper, we introduce and solve the following additive (ρ1, ρ2)-functional inequalities
||f(x+y+z)-f(x)-f(y)-f(z)||
≤ ||ρ1(f(x+z)-f(x)-f(z))||+||ρ2(f(y+z)-f(y)-f(z))||,
where ρ1 and ρ2 are fixed nonzero complex numbers with|ρ1|+|ρ2|< 2. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the above additive (ρ1, ρ2)-functional inequality in complex Banach spaces. Furthermore, we prove the Hyers-Ulam stability of hom-derivations in C*-ternary algebras. |
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| Keywords: | Hyers-Ulam stability additive (ρ1 ρ2)-functional inequality fixed point method direct method hom-derivation on C*-ternary algebra |
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