Additive ρ-functional inequalities in non-Archimedean 2-normed spaces

- Title
- Additive ρ-functional inequalities in non-Archimedean 2-normed spaces

- Other Titles
- Additive rho-functional inequalities in non-Archimedean 2-normed spaces

- Author
- 박춘길

- Keywords
- additive ρ-functional equation; additive ρ-functional inequality; Hyers-Ulam stability; non-Archimedean 2-normed spaces

- Issue Date
- 2021-02

- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS

- Citation
- AIMS MATHEMATICS, v. 6, no. 2, page. 1905-1919

- Abstract
- In this paper, we solve the additive rho-functional inequalities: parallel to f (x + y) - f(x) - f(y)parallel to ˂= parallel to rho(2f(x + y/2) - f(x) - f(y))parallel to, parallel to 2f (x + y/2) - f(x) - f(y)parallel to ˂= parallel to rho(f(x + y) - f(x) - f(y))parallel to, where rho is a fixed non-Archimedean number with vertical bar rho vertical bar ˂ 1. More precisely, we investigate the solutions of these inequalities in non-Archimedean 2-normed spaces, and prove the Hyers-Ulam stability of these inequalities in non-Archimedean 2-normed spaces. Furthermore, we also prove the Hyers-Ulam stability of additive rho-functional equations associated with these inequalities in non-Archimedean 2-normed spaces.

- URI
- http://www.aimspress.com/article/doi/10.3934/math.2021116https://repository.hanyang.ac.kr/handle/20.500.11754/176267

- ISSN
- 2473-6988

- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles

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