Stability of an <i>n</i>-variable mixed type functional equation in probabilistic modular spaces

Stability of Binet-Cauchy Functional Equation on Non-Archimedean Banach Algebras

“…for all x ∈ B X. In order to prove the convergence of the sequence f (k m x) k m , replace x by k l x and divided by k l in (19), for any l, m > 0, we arrive to…”

Approximation of almost quadratic mappings via modular functional

“…Concerning stability problems of functional equations in modular spaces, Sadeghi [19] has proved generalized Hyers-Ulam stability via the fixed point method of a generalized Jensen functional equation f(rx + sy) = rg(x) + sh(y) in convex modular spaces with the Fatou property satisfying ∆ 2 -condition with 0 < κ 2. Recently, many mathematicians have established stability theorems of various functional equations in modular spaces (see, e.g., [8,12,[14][15][16]).…”

Approximation of Mixed Euler-Lagrange σ -Cubic-Quartic Functional Equation in Felbin’s Type f-NLS

“…∀t ∈ T with σ ≥ l, nonnegative integers. Now, (8) and (15) imply that the sequence fπð2 σ tÞ/2 3σ g is fuzzy Cauchy in S. So, the sequence fπð2 σ tÞ/2 3σ g converges, which let us to define the mapping Θ :…”

“…Recently, the stability problems of several functional equations (FEs) have been extensively investigated by a number of authors [4,[9][10][11][12][13][14][15][16][17][18][19][20] in Felbin type f-NLS. Our method helps to solve some new problems of stability and approximation of functional equations [21][22][23][24][25][26][27][28] in Felbin type f-NLS.…”