DOI: 10.1155/ijmm/1348083 ISSN: 0161-1712
Structural Analysis of Homomorphisms and Derivations in C ∗ ‐Ternary Algebras Related to Additive–Quadratic Functional Equations
Javad ShokriIn this paper, we study algebraic structures associated with homomorphisms and derivations, which play a significant role in physics and engineering. Our main focus is on the Ulam–Hyers stability of homomorphism and derivation structures related to a class of two‐dimensional additive–quadratic functional equations in C ∗ ‐ternary algebras. By applying fixed point methods, we establish several stability theorems and derive the corresponding corollaries, which illustrate the applicability of the obtained results. Two examples are also provided in detail to verify the established theorems and results.