A Fixed-Point Method for Perturbation of Higher Ring Derivations in Non-Archimedean Banach Algebras

Abstract

In this paper, we investigate the generalized Hyres–Ulam–Rassias stability and Bourgin-type superstability of higher derivations in non-Archimedean Banach algebras by using a version of fixed-point theorem.

C*-Ternary Homomorphisms, C*-Ternary Derivations, Jb*-Triple Homomorphisms and Jb*-Triple Derivations

“…Gajda [8] following the same approach as in Rassias [23], gave an affirmative solution to this question for p > 1. For further research developments in stability of functional equations the readers are referred to the works of Gavruta [9], Jung [13], Skof [25], Eshaghi Gordji et al [5][6][7] and the references cited therein.…”

Bi-Additive s-Functional Inequalities and Quasi-∗-Multipliers on Banach Algebras

“…The stability problems of various functional equations and functional inequalities have been extensively investigated by a number of authors (see [12][13][14][15]). …”

C*-Ternary Biderivations and C*-Ternary Bihomomorphisms

“…The stability problems of various functional equations and functional inequalities have been extensively investigated by a number of authors (see [12][13][14][15][16][17][18][19][20]). …”