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

Abstract

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.

Keywords

• partial ternary derivation
• cubic derivation
• non-archimedean $\ell$-fuzzy algebra
• $c^{*}$-ternary algebra
• hyers-ulam-rasias stability