scispace - formally typeset
Search or ask a question
Author

Muaadh Almahalebi

Bio: Muaadh Almahalebi is an academic researcher from Ibn Tofail University. The author has contributed to research in topics: Functional equation & Banach space. The author has an hindex of 6, co-authored 26 publications receiving 90 citations.

Papers
More filters
Journal ArticleDOI
TL;DR: In this paper, the authors established some hyperstability results concerning the monomial functional equation n X r=0 (1) n r C n r rf(rx +y) = n!f(x).
Abstract: In this paper, we establish some hyperstability results concerning the monomial functional equation n X r=0 ( 1) n r C n rf(rx +y) = n!f(x)

13 citations

Journal Article
TL;DR: In this paper, it was shown that a function satisfying the Cauchy functional equation approximately must be actually a solution to it, which is the same as the hyperstability result in this paper.
Abstract: The aim of this paper is to offer hyperstability results for the?? Cauchy functional equation $$ f\left(\sum_{i=1}^{n}x_{i}\right)=\sum_{i=1}^{n}f(x_{i}) $$ in Banach spaces. Namely, we show that a function satisfying the equation approximately must be actually a solution to it.

11 citations

Journal ArticleDOI
TL;DR: In this paper, hyperstability results of Jensen functional equations in ultrametric Banach spaces are presented, where the Jensen functional equation can be expressed as a set of functions.
Abstract: In this paper, we present hyperstability results of Jensen functional equations in ultrametric Banach spaces.

11 citations

Journal ArticleDOI
TL;DR: In this paper, the authors introduced and solved the φ-radical functional equation in 2-Banach spaces and investigated stability of the π-functional equation in two-banach spaces.

10 citations

Journal ArticleDOI
TL;DR: In this article, the authors established some hyperstability results concerning the Cauchy - Jensen functional equation f x +y 2 +f x y 2 = f(x).
Abstract: In this paper, we establish some hyperstability results concerning the Cauchy - Jensen functional equation f x +y 2 +f x y 2 = f(x)

8 citations


Cited by
More filters
Journal ArticleDOI
TL;DR: In this paper, the orthogonal stability of quadratic functional equation of Pexider type was established using the fixed point alternative theorem, where the fixed-point alternative theorem was used to establish the stability of the Pexiders.
Abstract: Using the fixed point alternative theorem we establish the orthogonal stability of quadratic functional equation of Pexider type $f(x+y)+g(x-y)=h(x)+k(y)$, where $f, g, h, k$ are mappings from a symmetric orthogonality space to a Banach space, by orthogonal additive mappings under a necessary and sufficient condition on $f$.

186 citations

Posted Content
TL;DR: In this article, the authors obtained a result on Hyers-Ulam stability of the linear functional equation in a single variable in a complete metric group, where f (varphi(x)) = g(x) \cdot f (x)
Abstract: In this paper we obtain a result on Hyers-Ulam stability of the linear functional equation in a single variable $f(\varphi(x)) = g(x) \cdot f(x)$ on a complete metric group.

89 citations

Journal ArticleDOI
Dong Zhang1
TL;DR: In this paper, the hyperstability of generalised linear functional equations was shown to be hyperstable for functions mapping a normed space into a norming space, under suitable assumptions.
Abstract: We obtain some results on approximate solutions of the generalised linear functional equation for functions mapping a normed space into a normed space. We show that, under suitable assumptions, the approximate solutions are in fact exact solutions. The theorems correspond to and complement recent results on the hyperstability of generalised linear functional equations.

36 citations

Journal ArticleDOI
TL;DR: In this paper, the authors established some hyperstability results concerning the monomial functional equation n X r=0 (1) n r C n r rf(rx +y) = n!f(x).
Abstract: In this paper, we establish some hyperstability results concerning the monomial functional equation n X r=0 ( 1) n r C n rf(rx +y) = n!f(x)

13 citations