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Approximately linear recurrences

Rasouli H., Abbaszadeh S., Eshaghi M.

Journal of Applied Analysis

2018

Vol. 24, nr 1

81--85

In this paper, we present a Hyers–Ulam stability result for the approximately linear recurrence in Banach spaces. An example is given to show the results in more tangible form.

Approximate generalized derivations close to derivations in Lie C*-algebras

Eshaghi M., Abbaszadeh S.

Journal of Applied Analysis

2015

Vol. 21, nr 1

37--43

We apply a fixed point theorem to prove that there exists a unique derivation close to an approximately generalized derivation in Lie C*-algebras. Also, we prove the hyperstability of generalized derivations. In other words, we find some conditions under which an approximately generalized derivation becomes a derivation.