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APPROXIMATION OF TWO GENERAL FUNCTIONAL EQUATIONS IN 2-BANACH SPACESopen access
- Issue Date
- Mar-2023
- Publisher
- ELEMENT
- Keywords
- Ulam stability; hyperstability; fixed point method; 2-Banach space; functional linear functional
- Citation
- JOURNAL OF MATHEMATICAL INEQUALITIES, v.17, no.1, pp.153 - 162
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL INEQUALITIES
- Volume
- 17
- Number
- 1
- Start Page
- 153
- End Page
- 162
- ISSN
- 1846-579X
- Abstract
- In this paper, we study the Ulam stability and hyperstability of two general functional equations in several variables in 2-Banach spaces. Multi-additive and multi-Jensen functions are particular cases of these functional equations. We also improve the main results of Theorem 3 and Theorem 4 of [Cieplinski, K. Ulam stability of functional equations in 2-Banach spaces via the fixed point method. J. Fixed Point Theory Appl. 23 (2021), no. 3, Paper No. 33, 14 pp.] and their consequences.
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