TERNARY HOM-DERIVATION-HOMOMORPHISM

SAJJAD KHAN; Jung Rye Lee; Eon Wha Shim

TERNARY HOM-DERIVATION-HOMOMORPHISM

Authors

SAJJAD KHAN Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea https://orcid.org/0009-0005-3174-762X
Jung Rye Lee Department of Data Science, Daejin University, Kyunggi 11159, Korea https://orcid.org/0009-0005-3174-762X
Eon Wha Shim Department of Mathematics, Hanyang University, Seoul 04763, Korea https://orcid.org/0009-0005-3174-762X

Keywords:

Hyers-Ulam stability; direct method; fixed point method; ternary hom-derivation in C ∗ -ternary algebra; ternary homomorphism in C ∗ -ternary algebra.

Abstract

In this paper, we introduce and solve the following additive-additive (s, t)-functional inequality

where s and t are fixed nonzero complex numbers with |s| < 1 and |t| < 1. Using the direct method and the fixed point method, we prove the Hyers-Ulam stability of ternary homderivations and ternary homomorphisms in C ∗ -ternary algebras, associated to the additiveadditive (s, t)-functional inequality (0.1) and the following functional inequality

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Published

2024-01-18

How to Cite

SAJJAD KHAN, Jung Rye Lee, & Eon Wha Shim. (2024). TERNARY HOM-DERIVATION-HOMOMORPHISM. Journal of Computational Analysis and Applications (JoCAAA), 32(1), 37–48. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/40