The fixed point method has been applied for the first time, in proving the stability results for
functional equations, by Baker (1991); he used a variant of Banach′ s fixed point theorem …

Using a fixed point result and an approach to stability of functional equations presented in 8,
we investigate a new type of stability for the radical quadratic functional equation of the form …

Let\mathbb FF,\mathbb KK be two fields of real or complex numbers and X, Y be two normed
spaces over\mathbb FF,\mathbb KK, respectively. In this paper, we use a modification of …

The aim of this paper is first to reformulate the fixed point theorem [4, Theorem 1] in 2-
Banach spaces, after it, we introduce and solve the radical quartic functional equation f (x 4+ …

Hyperstability of the Jensen functional equation in ultrametric spaces Page 1 Aequat. Math. 91
(2017), 647–661 c© Springer International Publishing 2017 0001-9054/17/040647-15 …

Approximate solutions of a quadratic functional equation in 2-Banach spaces using fixed
point theorem | SpringerLink Skip to main content Advertisement SpringerLink Account …

Hyperstability of Cauchy–Jensen functional equations - ScienceDirect Skip to main contentSkip
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We first introduce basic concepts of (2, β)(2, β)-Banach spaces and we will reformulate the
fixed point theorem 8, Theorem 1 in this space. After that, we achieve the general solution of …

Let, using a modification of the method of Brzdęk ['Stability of additivity and fixed point
methods', Fixed Point Theory Appl. 2013 (2013), Art. ID 285, 9 pages]. The hyperstability …

Let R be the set of real numbers,(G,+) be a commutative group and d be a complete
ultrametric on G that is invariant (ie, d (x+ z, y+ z)= d (x, y) for x, y, z∈ G). Under some weak …