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Quadratic ρ-functional equations in non-archimedean banach spaces
- Authors
- Park, Choon kil; Lu, Gang; Cui, Yinhua; Fang, Ming
- Issue Date
- Apr-2018
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; non-Archimedean normed space; quadratic ρfunctional equation
- Citation
- Journal of Computational Analysis and Applications, v.24, no.4, pp 752 - 759
- Pages
- 8
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 24
- Number
- 4
- Start Page
- 752
- End Page
- 759
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, we solve the quadratic ρ-functional equations (formula presented) where ρ is a fixed non-Archimedean number with |ρ| < |2|, and (formula presented) where ρ is a fixed non-Archimedean number with |ρ| < |2|. Furthermore, we prove the Hyers-Ulam stability of the quadratic ρ-functional equations (0.1) and (0.2) in non-Archimedean Banach spaces.
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