In:
Abstract and Applied Analysis, Hindawi Limited, Vol. 2014 ( 2014), p. 1-9
Kurzfassung:
Let Y be a real separable Banach space and let 𝒦 C Y , d ∞ be the subspace of all normal fuzzy convex and upper semicontinuous fuzzy sets of Y equipped with the supremum metric d ∞ . In this paper, we introduce several types of additive fuzzy set-valued functional equations in 𝒦 C Y , d ∞ . Using the fixed point technique, we discuss the Hyers-Ulam-Rassias stability of three types additive fuzzy set-valued functional equations, that is, the generalized Cauchy type, the Jensen type, and the Cauchy-Jensen type additive fuzzy set-valued functional equations. Our results can be regarded as important extensions of stability results corresponding to single-valued functional equations and set-valued functional equations, respectively.
Materialart:
Online-Ressource
ISSN:
1085-3375
,
1687-0409
Sprache:
Englisch
Verlag:
Hindawi Limited
Publikationsdatum:
2014
ZDB Id:
2064801-7
SSG:
17,1
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