A Fixed Point Approach to Superstability of Generalized Derivations on Non‐Archimedean Banach Algebras

Abstract

We investigate the superstability of generalized derivations in non-Archimedean algebras by using a version of fixed point theorem via Cauchy functional equation.

Approximate Higher Ring Derivations in Non-Archimedean Banach Algebras

“…The stability problems of approximate ring derivations and higher ring derivations have been investigated by a number of authors and there are interesting results concerning this problem [6][7][8]12].…”

Stability and Superstability of Generalized (θ, ϕ)‐Derivations in Non‐Archimedean Algebras: Fixed Point Theorem via the Additive Cauchy Functional Equation

“…Ansari-Piri and Anjidani 40 discussed the superstability of generalized derivations on Banach's algebras. Recently, Eshaghi Gordji et al 41 investigated the stability and superstability of higher ring derivations on non-Archimedean Banach's algebras see also 42 . In this paper, we investigate the superstability of generalized θ, φ -derivations on non-Archimedean Banach algebras by using the fixed point methods.…”