Author:
Asgari G,Cho YJ,Lee YW,Eshaghi Gordji M
Abstract
Abstract
By using Diaz and Margolis fixed point theorem, we establish the generalized Hyers-Ulam-Rassias stability of the ternary homomorphisms and ternary derivations between fuzzy ternary Banach algebras associated to the following
(
m
,
n
)
-Cauchy-Jensen additive functional equation:
∑
1
≤
i
1
<
⋯
<
i
m
≤
n
1
≤
k
l
≤
n
k
l
≠
i
j
,
∀
j
∈
{
1
,
…
,
m
}
f
(
∑
j
=
1
m
x
i
j
m
+
∑
l
=
1
n
−
m
x
k
l
)
=
(
n
−
m
+
1
)
n
(
n
m
)
∑
i
=
1
n
f
(
x
i
)
.
MSC:39B52, 46S40, 26E50.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Cited by
3 articles.
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