Stability problem for Pexiderized Cauchy-Jensen type functional equations of fuzzy number-valued mappings

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MIAHI M.; MIRZAEE F.; KHODAEI H.

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ISSN: 2588-4824

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Journal: Iranian Journal of Fuzzy Systems Year:2022 | Volume:19 | Issue:1 Page(s): 141-151

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Title

Stability problem for Pexiderized Cauchy-Jensen type functional equations of fuzzy number-valued mappings

Author(s)

MIAHI M. | MIRZAEE F. | KHODAEI H. | Issue Writer Certificate

Keywords

Fuzzy number-valued mapping

stability

Pexiderized Cauchy-Jensen equation

fuzzy analysis

Abstract

We investigate the stability problems of the n-dimensional Cauchy-Jensen type and the n-dimensional Pexiderized Cauchy-Jensen type fuzzy number-valued functional equations in Banach spaces by using the metric de ned on a fuzzy number space. Under some suitable conditions, some properties of the solutions for these equations such as existence and uniqueness are discussed. Our results can be regarded as important extensions of stability results corresponding to single-valued functional equations and set-valued functional equations, respectively.

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APA: Copy

MIAHI, M., MIRZAEE, F., & KHODAEI, H.. (2022). Stability problem for Pexiderized Cauchy-Jensen type functional equations of fuzzy number-valued mappings. IRANIAN JOURNAL OF FUZZY SYSTEMS, 19(1 ), 141-151. SID. https://sid.ir/paper/412596/en

Vancouver: Copy

MIAHI M., MIRZAEE F., KHODAEI H.. Stability problem for Pexiderized Cauchy-Jensen type functional equations of fuzzy number-valued mappings. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2022;19(1 ):141-151. Available from: https://sid.ir/paper/412596/en

IEEE: Copy

M. MIAHI, F. MIRZAEE, and H. KHODAEI, “Stability problem for Pexiderized Cauchy-Jensen type functional equations of fuzzy number-valued mappings,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 19, no. 1 , pp. 141–151, 2022, [Online]. Available: https://sid.ir/paper/412596/en

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