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

Mohammad Sal Moslehian
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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.

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Mohammad Sal Moslehian. 2005-01-02. Approximate $(\sigma-\tau)$-Contractibility. https://arxiv.org/abs/math/0501013

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