Approximate $(\sigma -\tau )$-Contractibility

Abstract

In this paper, the generalized Hyers--Ulam--Rassias stability of $(\sigma -\tau )$-derivations on normed algebras into Banach bimodules is established. We introduce the notion of approximate $(\sigma -\tau )$-contractibility and prove that a Banach algebra is $(\sigma -\tau )$-contractible if and only if it is approximately $(\sigma -\tau )$-Contractible.

10 pages

References in corpus (1)

• Hyers-Ulam-Rassias Stability of Generalized Derivations

Cited by in corpus (1)

• Approximately Vanishing of Topological Cohomology Groups