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

Kandhasamy Tamilvanan (), Ali H. Alkhaldi, Ravi P. Agarwal and Abdulaziz M. Alanazi
Additional contact information
Kandhasamy Tamilvanan: Department of Mathematics, Faculty of Science & Humanities, R.M.K. Engineering College, Srivilliputhur 601 206, Tamil Nadu, India
Ali H. Alkhaldi: Department of Mathematics, College of Science, King Khalid University, Abha 61421, Saudi Arabia
Ravi P. Agarwal: Department of Mathematics, Texas A & M University-Kingsville, 700 University Blvd., Kingsville, TX 78363-8202, USA
Abdulaziz M. Alanazi: Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

Mathematics, 2023, vol. 11, issue 2, 1-24

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.

Keywords: non-Archimedean ?-2-normed space; fixed point; quadratic-additive functional equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/2/270/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/2/270/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:2:p:270-:d:1025364

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().