Nearly higher ternary derivations in Banach ternary algebras: An alternative fixed point approach

	Nearly higher ternary derivations in Banach ternary algebras: An alternative fixed point approach
International Journal of Nonlinear Analysis and Applications
مقاله 2، دوره 5، شماره 2، 2014، صفحه 7-15 اصل مقاله (376.57 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2014.121
نویسندگان
S.A.R. Hosseinioun¹؛ R. Farrokhzad²؛ M. Eshaghi^* ³
¹Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA
²Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
³Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
چکیده
We say a functional equation $(\xi)$ is stable if any function $g$ satisfying the equation $(\xi)$ approximately is near to true solution of $(\xi)$. Using fixed point methods, we investigate approximately higher ternary derivations in Banach ternary algebras via the Cauchy functional equation $$f(\lambda_1x + \lambda_2y + \lambda_3z) = \lambda_1f(x) + \lambda_2f(y) + \lambda_3f(z).$$
کلیدواژه‌ها
Alternative fixed point؛ HyersUlamRassias stability؛ ternary algebra؛ ternary derivation
آمار تعداد مشاهده مقاله: 49,646 تعداد دریافت فایل اصل مقاله: 58,997

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