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Approximate <Emphasis Type="Italic">C</Emphasis>*-ternary ring homomorphisms
Authors:Mohammad Sal Moslehian
Affiliation:(1) Department of Mathematics, Ferdowsi University, P.O. Box 1159, Mashhad, 91775, IRAN;(2) Banach Mathematical Research Group (BMRG), Mashhad, IRAN;(3) Centre of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University, IRAN
Abstract:In this paper, we establish the generalized Hyers–Ulam–Rassias stability of C*-ternary ring homomorphisms associated to the Trif functional equation
$$
d \cdot C^{{l - 2}}_{{d - 2}} f{\left( {\frac{{x_{1}  +  \cdots  + x_{d} }}
{d}} \right)} + C^{{l - 2}}_{{d - 2}} {\sum\limits_{j = 1}^d {f{\left( {x_{j} } \right)} = l \cdot {\sum\limits_{1 \leqslant j_{1}  <  \cdots  < j_{l}  \leqslant d} {f{\left( {\frac{{x_{{j_{1} }}  +  \cdots  + x_{{j_{l} }} }}
{l}} \right)}.} }} }
$$
Keywords::" target="_blank">:  generalized Hyers-Ulam-Rassias stability  C*-ternary ring  C*-ternary homomorphism  Trif's functional equation
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