Abstract
In this paper, we investigate C * -ternary biderivations and C * -ternary bihomomorphism in C * -ternary algebras, associated with bi-additive s-functional inequalities.
Highlights
Introduction and PreliminariesThe stability problem of functional equations originated from a question of Ulam [1] concerning the stability of group homomorphisms.The functional equation f ( x + y) = f ( x ) + f (y) is called the Cauchy equation
In this paper, we investigate C ∗ -ternary biderivations and C ∗ -ternary bihomomorphism in
A generalization of the Rassias theorem was obtained by Găvruta [5] by replacing the unbounded Cauchy difference by a general control function in the spirit of Rassias’ approach
Summary
C ∗ -ternary algebras associated with the following bi-additive s-functional inequalities k f ( x + y, z − w) + f ( x − y, z + w) − 2 f ( x, z) + 2 f (y, w)k
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