Abstract The aim of this note is to show the generalized Hyers–Ulam stability a functional equation in four variables. In order do this, fixed point method applied. As corollaries from our main result, some outcomes on known equations will be also derived.

In this paper, we study the Hyers-Ulam stability problem for the following functional equation (E(K)) ∑ φ∈Φ ∫ K f(xkφ(y)k)dωK(k) = |Φ|f(x)g(y), x, y ∈ G, where G is a locally compact group, K is a compact subgroup of G, ωK is the normalized Haar measure of K, Φ is a finite group of K-invariant morphisms of G and f, g : G −→ C are continuous complex-valued functions such that f satisfies the Kan...

The main purpose of this paper is to prove the Hyers-Ulam stability of the additive functional equation for a large class of unbounded domains. Furthermore, by using the theorem, we prove the stability of Jensen's functional equation for a large class of restricted domains. 1. Introduction. The starting point of studying the stability of functional equations seems to be the famous talk of Ulam ...

Abstract The purpose of this paper is to present the notion MR-Kannan type contractions using generalized averaged operator. Several examples are provided illustrate concept presented herein. We provide a characterisation normed spaces with fixed point. investigate Ulam–Hyers stability and well-posedness result for mappings here.

In this article, we defined the generalized intuitionistic P-pseudo fuzzy 2-normed spaces and investigated Hyers stability of m-mappings in space. The are interesting functional equations; these equations additive for m = 1, quadratic 2, cubic 3, quartic 4. We have four types by fixed point method.