Intuitionistic fuzzy stability of a Jensen functional equation via fixed point technique

A fixed point approach to the stability of a septic functional equation in fuzzy quasi-β-normed spaces

“…for all x ∈ X and t > 0, then there exists a unique septic mapping S : X → Y such that (18) for all x ∈ X and t > 0, where N ϕ(3x, x), N ϕ(2x, x), N ϕ(0, 2x),…”

“…In the following, Jang et al [8] investigated the generalized stability of two Jensentype quadratic functional equations in fuzzy Banach spaces. And then, further researches related to the stability of Jensen functional equation have been considered by different authors [7,18]. In 2010, Lee et al [12] proved the generalized stability of two types of quadratic functional equations in fuzzy Banach spaces.…”

On the Ulam Stability of Cauchy Functional Equation in IFN-Spaces

“…Since then several stability problems for various functional equations have been investigated in [12], [13], [14], [16], [20], [22], [23], [33], [34] and [35]. Recently, the stability problem for mixed type quadratic-additive functional equation, Jensen functional equation, additive functional equation, Pexiderized quadratic functional equation, cubic functional equation and mixed type additive cubic functional equations have been considered in [1], [17], [19], [25], [27] [30] and [38] in the intuitionistic fuzzy normed spaces.…”

On the stability of a cubic functional equation in random 2-normed spaces

“…Since then several stability problems for various functional equations have been investigated in [5][6][7][8][9][10][11][12].…”