Hyers--Ulam--Rassias stability of Jensen's functional equation on fuzzy normed linear spaces

In this paper, the Hyers--Ulam--Rassias stability of Jensen's functional equation is discussed in detail on fuzzy normed linear spaces. It is shown through the analysis that every fuzzy approximate Jensen-type mapping can be approximated by an additive mapping. The obtained results are the fuzzy versions of some classical theorems.

Keywords:

Fuzzy norm , Fuzzy normed linear space , functional equation

Authors

Morteza Saheli

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

Hadi Saedi Goraghani

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

Certificate
من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

https://civilica.com/doc/1739900

شناسه ملی سند علمی:

JR_IJNAA-14-1_234

تاریخ نمایه سازی: 5 شهریور 1402

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:

Saheli, Morteza and Saedi Goraghani, Hadi,1402,Hyers--Ulam--Rassias stability of Jensen's functional equation on fuzzy normed linear spaces,https://civilica.com/doc/1739900

Scientometrics

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

Ranking of Vali-e-asr University of Rafsanjan

Type of center: دانشگاه دولتی

Paper count: 4,252

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.