Orthogonal Stability and Solution of a Three-Variable Functional Equation in Extended Banach Spaces
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.
Authors
- Jyotsana Jakhar (ORCID: https://orcid.org/0000-0002-8775-2496)
- Majeed A. Yousif (ORCID: https://orcid.org/0000-0002-0206-3828)
- Alina Alb Lupaş (ORCID: https://orcid.org/0000-0002-2855-7535)
- S.M. Sharma
- Pshtiwan Othman Mohammed (ORCID: https://orcid.org/0000-0001-6837-8075)
- Jagjeet Jakhar (ORCID: https://orcid.org/0000-0003-2520-5590)
- Nejmeddine Chorfi (ORCID: https://orcid.org/0000-0001-8833-6585)
Institutions
- University of Oradea (RO)
- King Saud University (SA)
- University of Zakho (IQ)
- Central University of Haryana (IN)
- University of Sulaimani (IQ)
- Maharshi Dayanand University (IN)
Publication Details
- Journal
- Mathematics
- Published
- 2024-09-14
- DOI
- https://doi.org/10.3390/math12182868
- Citations
- 3
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 2.93
Funders
- King Saud University