Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods-Reference-Cited by-同舟云学术

Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods

Published:2022-03-09 Issue: Volume:2022 Page:1-14
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Uthirasamy N.¹^ORCID,Tamilvanan K.²^ORCID,Kabeto Masho Jima³^ORCID

Affiliation:

1. Department of Mathematics, K.S. Rangasamy College of Technology, Tiruchengode 637 215, Tamil Nadu, India

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

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

Abstract

This paper introduces a new dimension of an additive functional equation and obtains its general solution. The main goal of this study is to examine the Ulam stability of this equation in IFN-spaces (intuitionistic fuzzy normed spaces) with the help of direct and fixed point approaches and 2-Banach spaces. Also, we use an appropriate counterexample to demonstrate that the stability of this equation fails in a particular case.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/8028634.pdf

Reference31 articles.

1. On the Stability of the Linear Functional Equation

2. On the Stability of the linear Transformation in Banach Spaces.

3. On the stability of the linear mapping in Banach spaces

4. A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings

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1. Intuitionistic Fuzzy Stability of an Euler–Lagrange Symmetry Additive Functional Equation via Direct and Fixed Point Technique (FPT);Symmetry;2022-11-19

2. Direct and Fixed-Point Stability–Instability of Additive Functional Equation in Banach and Quasi-Beta Normed Spaces;Symmetry;2022-08-16