Solution And Hyers-Ulam Stability Of n-Dimensional Non-Quadratic Functional Equation In Fuzzy Normed Space Using Direct Method

Some Results in Fuzzy 2- Metric Space

“…As a result, fuzzy metrics, fuzzy norms, and fuzzy inner products are essential in the development of fuzzy functional analysis. Numerous authors have proposed various papers for fuzzy normed spaces, like [9,13,17,19,21,22,24]. The notion of a fuzzy metric space, which can be thought of as a generalization of the statistical metric space, was initially described by Kramosil and Michálek [16] in 1975.…”

Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces

“…In (8) Sadeqi and Salehi introduced the concept of the fuzzy compact operator and proved the equivalence of the concepts of fuzzy boundedness and fuzzy norm continuity of linear operators. Moreover, different approaches for the space of fuzzy norm can be found in (9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21)(22). In this paper, the first main goal is to present the definition of weak and strong fuzzy convergence sequence of operators in a standard fuzzy normed space ( , ,⊛) (briefly SFN-space) where ⊛ is an arbitrary continuous tnorm.…”

Hyers–Ulam–Rassias Stability of Additive Mappings in Fuzzy Normed Spaces

“…Later, several various fuzzy versions of stability concerning Jensen, cubic, quadratic, and mixed additive-cubic functional equations were investigated (see, e.g., [14][15][16][17][18][19][20][21][22][23][24] and the references therein).…”