Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy φ-2-Normed Spaces and Non-Archimedean Banach Spaces-Reference-Cited by-同舟云学术

Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy φ-2-Normed Spaces and Non-Archimedean Banach Spaces

Published:2023-01-04 Issue:2 Volume:11 Page:270
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Tamilvanan Kandhasamy¹^ORCID,Alkhaldi Ali H.²,Agarwal Ravi P.³^ORCID,Alanazi Abdulaziz M.⁴^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science & Humanities, R.M.K. Engineering College, Srivilliputhur 601 206, Tamil Nadu, India

2. Department of Mathematics, College of Science, King Khalid University, Abha 61421, Saudi Arabia

3. Department of Mathematics, Texas A & M University-Kingsville, 700 University Blvd., Kingsville, TX 78363-8202, USA

4. Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

Abstract

In this work, we introduce a new type of generalized mixed-type quadratic-additive functional equation and obtain its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional equation in the setting of non-Archimedean fuzzy φ-2-normed space and non-Archimedean Banach space using the direct and fixed point approaches by taking into our account two cases: even mapping and odd mapping.

Funder

Ministry of Education in KSA

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/2/270/pdf

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