Ulam-Hyers Stability Results of λ-Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space

In this paper, we introduce the λ-quadratic functional equation with three variables and obtain its general solution. The main aim of this work is to examine the Ulam-Hyers stability of this functional equation in non-Archimedean Banach space by using direct and fixed point techniques and examine th...

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Main Authors: Ly Van An, Kandhasamy Tamilvanan, R. Udhayakumar, Masho Jima Kabeto, Ly Van Ngoc
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/6795978
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author Ly Van An
Kandhasamy Tamilvanan
R. Udhayakumar
Masho Jima Kabeto
Ly Van Ngoc
author_facet Ly Van An
Kandhasamy Tamilvanan
R. Udhayakumar
Masho Jima Kabeto
Ly Van Ngoc
author_sort Ly Van An
collection DOAJ
description In this paper, we introduce the λ-quadratic functional equation with three variables and obtain its general solution. The main aim of this work is to examine the Ulam-Hyers stability of this functional equation in non-Archimedean Banach space by using direct and fixed point techniques and examine the stability results in non-Archimedean random normed space.
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spelling doaj-art-1dd515d1419a44ee8e37cc5bf87344da2025-02-03T05:53:35ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6795978Ulam-Hyers Stability Results of λ-Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed SpaceLy Van An0Kandhasamy Tamilvanan1R. Udhayakumar2Masho Jima Kabeto3Ly Van Ngoc4Faculty of Mathematics Teacher EducationDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsFaculty of Mathematics Teacher EducationIn this paper, we introduce the λ-quadratic functional equation with three variables and obtain its general solution. The main aim of this work is to examine the Ulam-Hyers stability of this functional equation in non-Archimedean Banach space by using direct and fixed point techniques and examine the stability results in non-Archimedean random normed space.http://dx.doi.org/10.1155/2022/6795978
spellingShingle Ly Van An
Kandhasamy Tamilvanan
R. Udhayakumar
Masho Jima Kabeto
Ly Van Ngoc
Ulam-Hyers Stability Results of λ-Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space
Journal of Function Spaces
title Ulam-Hyers Stability Results of λ-Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space
title_full Ulam-Hyers Stability Results of λ-Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space
title_fullStr Ulam-Hyers Stability Results of λ-Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space
title_full_unstemmed Ulam-Hyers Stability Results of λ-Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space
title_short Ulam-Hyers Stability Results of λ-Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space
title_sort ulam hyers stability results of λ quadratic functional equation with three variables in non archimedean banach space and non archimedean random normed space
url http://dx.doi.org/10.1155/2022/6795978
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