Nearly k-th Partial Ternary Cubic *-Derivations On Non-Archimedean \ell-Fuzzy C^{*}-Ternary Algebras

In this paper, we investigate approximations of the k-th partial ternary cubic derivations on non-Archimedean \ell-fuzzy Banach ternary algebras and non-Archimedean \ell-fuzzy C^{*}-ternary algebras. First, we study non-Archimedean and \ell-fuzzy spaces, and then  prove the stability of partial ternary cubic *-derivations on non-Archimedean \ell-fuzzy C^{*}-ternary algebras. We therefore provide a link among different disciplines: fuzzy set theory, lattice theory, non-Archimedean spaces, and mathematical analysis.

کلیدواژه ها:

Partial ternary derivation ، Cubic derivation ، Non-Archimedean \ell-fuzzy algebra ، C^{*}-ternary algebra ، Hyers-Ulam-Rasias stability