Hyers--Ulam--Rassias stability of Jensen's functional equation on fuzzy normed linear spaces
عنوان مقاله: Hyers--Ulam--Rassias stability of Jensen's functional equation on fuzzy normed linear spaces
شناسه ملی مقاله: JR_IJNAA-14-1_234
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_IJNAA-14-1_234
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
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
خلاصه مقاله:
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
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.
کلمات کلیدی: Fuzzy norm, Fuzzy normed linear space, functional equation
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1739900/