Stability property of functional equations in modular spaces: a fixed-point approach
type: Item
instance of: scholarly article
title: Stability property of functional equations in modular spaces: a fixed-point approach
zbMATH Open document ID: 1483.39014
DOI: 10.1134/S0001434621010302
author: Parbati Saha
author: Pratap Mondal
author: Binayak S. Choudhury
published in: Mathematical Notes
publication date: 2021-07-08T00:00:00Z
review text: This paper is devoted to the problem of stability of quadratic functional equations in modular metric spaces in the Hyers-Ulam-Rassias sense. More precisely, the functional equation here considered is the Pappus functional equation, which arises from some geometrical considerations. The obtained results generalize previously known findings about the considered equation.
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 46A80
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7369700
zbMATH Keywords: Hyers-Ulam-Rassias stability
zbMATH Keywords: quadratic functional equation
zbMATH Keywords: modular spaces
zbMATH Keywords: fixed point
reviewed by: Bilal Bilalov
MaRDI profile type: Publication
cites work: Solution of Hyers-Ulam stability problem for generalized Pappus' equation
cites work: Hyers-Ulam stability of linear differential equations of first order. II
cites work: Q4412354
cites work: On approximate isometries and application to stability of a functional equation
cites work: Fixed points and stability for functional equations in probabilistic metric and random normed spaces
cites work: On approximate solutions of the Pexider equation
cites work: Q4913374
cites work: Generalized stability of Euler-Lagrange quadratic functional equation
cites work: On the stability of functional equations in Banach spaces
cites work: Q5511350
cites work: On the Stability of the Linear Functional Equation
cites work: On the Stability of the Linear Mapping in Banach Spaces
cites work: Stability of Isometries
cites work: Q2968362
cites work: Stability of additive mappings in non-archimedean fuzzy normed spaces
cites work: Stability of two variable pexiderized quadratic functional equation in intuitionistic fuzzy Banach spaces
cites work: Q2934990
cites work: Orlicz spaces and modular spaces
cites work: Q5801558
cites work: Fixed Point Theory in Modular Function Spaces
cites work: Q3994746
cites work: Fixed point theorems in modular vector spaces
cites work: A Fixed Point Approach to Stability of Quintic Functional Equations in Modular Spaces
cites work: Quasicontraction mappings in modular spaces without \(\Delta_2\)-condition
cites work: On the generalized Ulam-Hyers-Rassias stability of quadratic mappings in modular spaces without \(\Delta_2\)-conditions
cites work: On the generalized Ulam-Hyers-Rassias stability for quartic functional equation in modular spaces
cites work: Stability of general multi-Euler-Lagrange quadratic functional equations in non-Archimedean fuzzy normed spaces
cites work: Fixed point theory in modular function spaces
cites work: Stability of general \(A\)-cubic functional equations in modular spaces
cites work: A fixed point approach to stability of functional equations in modular spaces
full work available at URL: s0001434621010302
OpenAlex ID: W3182882030
description: scientific article; zbMATH DE number 7369700