HYERS-ULAM-RASSIAS STABILITY OF FUNCTIONAL EQUATIONS ON FUZZY NORMED LINER SPACES

In this paper, we use the de nition of fuzzy normed spaces givenby Bag and Samanta and the behaviors of solutions of the additive functionalequation are described. The Hyers-Ulam stability problem of this equationis discussed and theorems concerning the Hyers-Ulam-Rassias stability of theequation are proved on fuzzy normed linear space.

Keywords:

Fuzzy norm , Fuzzy normed linear space , Functional equation

Authors

M. SAHELI

DEPARTMENT OF OF MATHEMATICS VALI-E-ASR UNIVERSITY OF RAFSANJAN, RAFSANJAN, IRAN

V. AMIRZADEH

DEPARTMENT OF STATISTICS, FACULTY OF MATHEMATICS AND COMPUTER SCIENCE, SHAHID BAHONAR UNIVERSITY OF KERMAN, IRAN

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https://civilica.com/doc/857241

شناسه ملی سند علمی:

JR_KJMMRC-2-2_004

تاریخ نمایه سازی: 5 خرداد 1398

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SAHELI, M. and AMIRZADEH, V.,1392,HYERS-ULAM-RASSIAS STABILITY OF FUNCTIONAL EQUATIONS ON FUZZY NORMED LINER SPACES,https://civilica.com/doc/857241

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