Solution and approximation of radical quintic functional equation related to quintic mapping in quasi- $$\beta $$ β -Banach spaces

Ulam Type Stability of ?-Quadratic Mappings in Fuzzy Modular ∗-Algebras

“…As noted in Example 1, (A, µ, • M )is a µ-complete convex fuzzy modular * -algebra and (R, µ .• M ) is a fuzzy modular space. The result follows from the fact that (4) and (5) are equivalent to(7) and(8), respectively.…”

“…for all x ∈ X. A number of mathematicians were attracted to this result and stimulated to investigate the stability problems of various(functional, differential, difference, integral) equations in some spaces [4][5][6][7][8][9][10][11].…”

$C^{*}$-Algebra valued fuzzy normed spaces with application of Hyers–Ulam stability of a random integral equation

“…A complete C * AVFN-space is called a C * -algebra valued fuzzy Banach space (in short, a C * AVFB-space). Recently, some authors discussed the approximation of functional equations in several spaces by using a direct technique and a fixed point technique; for fuzzy Menger normed algebras, see [24]; for fuzzy metric spaces, see [25,26]; for FN spaces, see [27]; for non-Archimedean random Lie C * -algebras, see [28]; for non-Archimedean random normed spaces, see [29]; for random multi-normed space, see [30]; and we also refer the reader to [31][32][33][34].…”

Classical and Fixed Point Approach to the Stability Analysis of a Bilateral Symmetric Additive Functional Equation in Fuzzy and Random Normed Spaces

“…Presently, an equation is said to be stable in some set of functions if any function from that set that approximates the equation is comparable to an exact solution of the equation. Many mathematicians have studied quite a few stability problems of diverse functional equations (radical, reciprocal, logarithmic, algebraic) over the last few decades (see [1][2][3][4][5]).…”