Fuzzy Stability Results of Generalized Quartic Functional Equations

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 07 Jan 2021 English Publisher:MDPI AGJournal:Mathematics, volume 9, page 120 (eissn: 2227-7390,

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Authors: Sang Og Kim; Kandhasamy Tamilvanan;

doi: 10.3390/math9020120

Fuzzy Stability Results of Generalized Quartic Functional Equations

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Abstract

In the present paper, we introduce a new type of quartic functional equation and examine the Hyers–Ulam stability in fuzzy normed spaces by employing the direct method and fixed point techniques. We provide some applications in which the stability of this quartic functional equation can be controlled by sums and products of powers of norms. In particular, we show that if the control function is the fuzzy norm of the product of powers of norms, the quartic functional equation is hyperstable.

Related Organizations

Halla University
Korea (Republic of)
Hallym University
Korea (Republic of)

Keywords

Hyers–Ulam stability, quartic functional equation, fixed point, fuzzy normed space, QA1-939, Mathematics

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