A Fixed Point Approach to the Stability of Quintic and Sextic Functional Equations in Quasi--Normed Spaces

Stability of a Monomial Functional Equation on a Restricted Domain

“…This example is an extension of the example of Gajda [21] for the monomial functional inequality (13) (see also [22]). …”

A fixed point approach to Ulam-Hyers stability of duodecic functional equation in quasi-$β$-normed spaces

“…(see [34]). Let i ∈ {−1, 1} be fixed, s, a ∈ N with a ≥ 2 and Ψ : X → [0, ∞) be a function such that there exists an L < 1 with Ψ a i x ≤ a isβ LΨ(x) for all x ∈ X.…”

“…During the last three decades, several stability problems for various functional equations have been investigated by numerous mathematicians. We refer the reader to the survey articles on stabilities of various functional equations, one can see ( [4], [5], [10], [11], [13], [23], [24], [28], [29], [25], [34], [38], [39], [40]) and monographs ( [6], [8], [15]) and references therein.…”

General Solution and Stability of Quattuordecic Functional Equation in Quasi &amp;beta;-Normed Spaces

“…Very recently the general solution and the stability of the quintic and sextic functional equation in quasi-β-normed spaces via fixed point method were discussed by [18].…”

“…( ) in quasi-β -normed spaces were investigated by T. Z. Xu et al [18]. and proved the stability of nonic functional equation [19] in quasi-β-normed spaces by applying the fixed point method.…”