A Uniqueness Theorem for Stability Problems of Functional Equations
In this paper, we present a uniqueness theorem obtained by using direct calculation. This theorem is applicable to stability problems of functional equations whose solutions are monomial or generalized polynomial mappings of degree n. The advantage of this uniqueness theorem is that it simplifies the proof by eliminating the need to repeatedly and cumbersomely prove uniqueness in stability studies.
Authors
- Yang-Hi Lee (ORCID: https://orcid.org/0000-0002-9013-2925)
- Jaiok Roh (ORCID: https://orcid.org/0000-0003-2937-3698)
- Soon-Mo Jung (ORCID: https://orcid.org/0000-0002-6812-016X)
Institutions
- Hallym University (KR)
- Gongju National University of Education (KR)
Publication Details
- Journal
- Symmetry
- Published
- 2024-10-02
- DOI
- https://doi.org/10.3390/sym16101298
- Citations
- 3
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 2.93
Funders
- National Research Foundation
- National Research Foundation of Korea
- Ministry of Science and ICT, South Korea