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Intuitionistic fuzzy almost Cauchy–Jensen mappings

Gordji M. E., Abbaszadeh S.

Demonstratio Mathematica

2016

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.

Stability of the homogeneous equation

Chudziak J.

Demonstratio Mathematica

1998

Vol. 31, nr 4

765-772

The problem of Hyers-Ulam stability of the homogeneous equation is considered. We show , that under suitable assumptions on p and q, every function satisfying (4) is homogeneous.