Hyers-Ulam-Rassias Stability of Some Additive Fuzzy Set-Valued Functional Equations with the Fixed Point Alternative
Joint Authors
Chen, Wei
Lan, Yaoyao
Shen, Yong-hong
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Let Y be a real separable Banach space and let ? 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 ? 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.
American Psychological Association (APA)
Shen, Yong-hong& Lan, Yaoyao& Chen, Wei. 2014. Hyers-Ulam-Rassias Stability of Some Additive Fuzzy Set-Valued Functional Equations with the Fixed Point Alternative. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013331
Modern Language Association (MLA)
Shen, Yong-hong…[et al.]. Hyers-Ulam-Rassias Stability of Some Additive Fuzzy Set-Valued Functional Equations with the Fixed Point Alternative. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1013331
American Medical Association (AMA)
Shen, Yong-hong& Lan, Yaoyao& Chen, Wei. Hyers-Ulam-Rassias Stability of Some Additive Fuzzy Set-Valued Functional Equations with the Fixed Point Alternative. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013331
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013331