Results 31 to 40 of about 4,528,914 (107)
Stability of generalized quadratic functional equation on a set of measure zero
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015 In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation ∑ k ∈ K f(x+ k.y)= Lf(x)+ Lf(y), x,y ∈ E, where E is a real (or complex) vector space.
Youssef Aribou +3 more
doaj +1 more source
On Generalized Hyers‐Ulam Stability of Admissible Functions
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We consider the Hyers‐Ulam stability for the following fractional differential equations in sense of Srivastava‐Owa fractional operators (derivative and integral) defined in the unit disk: Dzβf(z)=G(f(z),Dzαf(z),zf′(z);z), 012<α<<β≤, in a complex Banach space. Furthermore, a generalization of the admissible functions in complex Banach spaces is imposed,
Rabha W. Ibrahim, Árpád Baricz
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On Pexider Differences in Topological Vector Spaces
Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011 Let X be a normed space and Y a sequentially complete Hausdorff topological vector space over the field ℚ of rational numbers. Let D1 = {(x, y) ∈ X × X : ∥x∥+∥y∥≥d}, and D2 = {(x, y) ∈ X × X : ∥x∥+∥y∥
Abbas Najati +3 more
wiley +1 more source
Generalized Jensen functional equation on restricted domain
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 We prove the Hyers-Ulam stability on restricted domains of generalized Jensen functional ...
Chahbi Abdellatif +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.To address the lack of dedicated tools for analyzing the stability of bivariate functional equations in fuzzy environments, this paper investigates fixed‐point theory and functional equation stability in fuzzy Banach spaces (FBSs). First, building on the Bag–Samanta fuzzy norm, we supplement and prove the “proposition on convergence preservation of ...
Gang Lyu +4 more
wiley +1 more source
Stability of the Pexiderized Lobacevski Equation
Journal of Applied Mathematics, Volume 2011, Issue 1, 2011., 2011 The aim of this paper is to investigate the solution and the superstability of the Pexiderized Lobacevski equation f((x + y)/2) 2 = g(x)h(y), where f, g, h : G2 → ℂ are unknown functions on an Abelian semigroup (G, +). The obtained result is a generalization of Gǎvruţa′s result in 1994 and Kim′s result in 2010.
Gwang Hui Kim, Junjie Wei
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Minimum functional equation and some Pexider-type functional equation on any group
AIMS Mathematics, 2021 <abstract><p>We discuss the solution to the minimum functional equation</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{align} \min \{\, \eta(xy^{-1}), \eta(xy) \, \} = \eta(x)\eta(y), \qquad x, y \in G, \end{align} $\end{document} </tex-math></disp-formula></p> <
Muhammad Sarfraz, Yongjin Li
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Estimation of Inexact Multimixed Additive‐Quadratic Mappings in Fuzzy Normed Spaces
Journal of Mathematics, Volume 2025, Issue 1, 2025.In the current study, we introduce a new model of multimixed additive‐quadratic mapping and then show that the system of several mixed additive‐quadratic equations defining a multimixed additive‐quadratic mapping can be unified and presented as a single equation. We also show that such mappings under some conditions are multi‐additive, multi‐quadratic,
Abasalt Bodaghi, Pramita Mishra
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Generalized Homogeneity of Means
International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011 We extend the classical notions of translativity and homogeneity of means to F‐homogeneity, that is, invariance with respect to an operation F : I × I → I. We find the shape of F for the arithmetic weighted mean and then the general form of F for quasi‐linear means. Also, we are interested in characterizations of means.
Małgorzata Pałys +4 more
wiley +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper analyzes the stability of the Euler–Lagrange–Jensen cubic functional equation in the context of Banach spaces and Intuitionistic Fuzzy Normed Spaces (IFN‐Spaces). We use both direct and fixed point techniques to establish the generalized Ulam stability of the cubic functional equation under various norm‐based constraints.
Subramani Karthikeyan +4 more
wiley +1 more source