Open Journal of Mathematical Sciences
Vol. 7 (2023), Issue 1, pp. 287-298
ISSN: 2523-0212 (Online) 2616-4906 (Print)
DOI: 10.30538/oms2023.0212
Exploiting quadratic \(\varphi(\delta_{1},\delta_{2})-\)function inequalities on fuzzy Banach spaces based on general quadratic equations with \(2k\)-variables
Ly Van An\(^{1,*}\)
\(^{1}\) Faculty of Mathematics Teacher Education, Tay Ninh University, Tay Ninh, Vietnam.
Copyright © 2023 Ly Van An. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received: June 28, 2023 – Accepted: October 11, 2023 – Published: December 27, 2023
Abstract
In this manuscript, our primary focus revolves around extending the inequalities associated with the Quadratic \(\varphi(\delta_{1},\delta_{2})-\)function. Our approach involves leveraging the general quadratic functional equation encompassing \(2k\)-variables within the context of the fuzzy Banach space. Our main contribution lies in the expansion of these inequalities, representing a significant result within this study.
Keywords:
Generalized quadratic type \(\varphi(\delta_{1},\delta_{2})-\)functional inequality; Generalized quadratic type functional equations; Fuzzy Banach space; Fuzzy normed vector spaces.