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Intuitionistic fuzzy almost Cauchy–Jensen mappings

100%

Gordji M. E. , Abbaszadeh S.

2016

tom Vol. 49, nr 1

18--25

In this paper, we first investigate the Hyers–Ulam stability of the generalized Cauchy–Jensen functional equation of p-variable (…) in an intuitionistic fuzzy Banach space. Then, we conclude the results for Cauchy–Jensen functional equation of p-variable (…). Next, we discuss the intuitionistic fuzzy continuity of Cauchy–Jensen mappings.

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

100%

Eshaghi M. , Abbaszadeh S.

2015

tom 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.

Approximately linear recurrences

80%

Rasouli H. , Abbaszadeh S. , Eshaghi M.

Journal of Applied Analysis

2018

tom 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.