Approximate $(σ-τ)$-Contractibility

Details Approximate $(σ-τ)$-Contractibility Approximate $(σ-τ)$-Contractibility

2005-01-02

arxiv.org/abs/math/0501013v1

Nonlinear Funct. Anal. Appl, 11 (2006), no. 5, 805-813

Mathematics

Functional Analysis

10 pages

Scientific paper

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.

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