Ulam-Hyers Stability Results of <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>λ</mi> </math>-Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space-Reference-Cited by-同舟云学术

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

Published:2022-05-20 Issue: Volume:2022 Page:1-10
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Van An Ly¹,Tamilvanan Kandhasamy²^ORCID,Udhayakumar R.³^ORCID,Kabeto Masho Jima⁴^ORCID,Van Ngoc Ly⁵

Affiliation:

1. Faculty of Mathematics Teacher Education, Tay Ninh University, Ninh Trung, Ninh Son, Tay Ninh Province, Vietnam

2. Department of Mathematics, School of Advanced Sciences, Kalasalingam Academy of Research and Education, Srivilliputhur, 626 126 Tamil Nadu, India

3. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, India

4. Department of Mathematics, College of Natural Sciences, Jimma University, Ethiopia

5. Faculty of Mathematics Teacher Education, Quang Nam Phan Chau Trinh University, Cam Thanh, Cam Ha, Quang Nam Province, Vietnam

Abstract

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.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/6795978.pdf

Reference27 articles.

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4. On stability of additive mappings;Z. Gajda;International Journal of Mathematics and Mathematical Sciences,1991

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