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Orthogonal Stability and Solution of a Three-Variable Functional Equation in Extended Banach Spaces

Year: 2024
Type: article
Abstract: This manuscript introduces a novel three-variable cubic functional equation and derives its general solution. Employing both the direct and fixed-point methods, we investigate the orthogonal stability of this equation within the frameworks of quasi-β-Banach spaces and multi-Banach spaces. Additionally, the study explores the stability of the equation in various extended Banach spaces and provides a specific example illustrating the absence of stability in certain cases.
Source: Mathematics
DOI: 10.3390/math12182868
Authors: Jagjeet Jakhar, Shalu Sharma, Jyotsana Jakhar, Majeed A. Yousif, Pshtiwan Othman Mohammed, Alina Alb Lupas, Nejmeddine Chorfi
Institutions: Central University of Haryana, Maharshi Dayanand University, University of Zakho, University of Sulaimani, University of Oradea, King Saud University
Language: English
Open Access status: gold
Estimated APC paid: $2,955
OpenAlex ID: W4402794761
FWCI: 2.29
Cites: 21
Cited by: 3
Related to: 10