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

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 defined 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.

Keywords:

Fuzzy number-valued mapping , stability , Pexiderized Cauchy-Jensen equation , Fuzzy analysis

Authors

M. Miahi

Faculty of Mathematical Sciences and Statistics, Malayer University, P.O. Box ۶۵۷۱۹-۹۵۸۶۳, Malayer, Iran

F. Mirzaee

Faculty of Mathematical Sciences and Statistics, Malayer University, P.O. Box ۶۵۷۱۹-۹۵۸۶۳, Malayer, Iran

H. Khodaei

Faculty of Mathematical Sciences and Statistics, Malayer University, P.O. Box ۶۵۷۱۹-۹۵۸۶۳, Malayer, Iran

Certificate
من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

https://civilica.com/doc/1351302

شناسه ملی سند علمی:

JR_IJFS-19-1_012

تاریخ نمایه سازی: 28 آذر 1400

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:

Miahi, M. and Mirzaee, F. and Khodaei, H.,1401,Stability problem for Pexiderized Cauchy-Jensen type functional equations of fuzzy number-valued mappings,https://civilica.com/doc/1351302

Scientometrics

The specifications of the publisher center of this Paper are as follows:

Ranking of Malayer University

Type of center: دانشگاه دولتی

Paper count: 3,287

In the scientometrics section of CIVILICA, you can see the scientific ranking of the Iranian academic and research centers based on the statistics of indexed articles.