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Additive-quadratic ρ-functional inequalities in non-archimedean banach spaces
- Authors
- Park, Choonkil; Lee, Jung Rye; Shin, Dong Yun
- Issue Date
- Apr-2018
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; non-Archimedean normed space; additive-quadratic ρ-functional inequality
- Citation
- Journal of Computational Analysis and Applications, v.24, no.4, pp 700 - 710
- Pages
- 11
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 24
- Number
- 4
- Start Page
- 700
- End Page
- 710
- ISSN
- 1521-1398
1572-9206
- Abstract
- Let (formula presented) We solve the additive-quadratic ρ-functional inequalities ‖M1f(x; y)‖ ≤ ‖ρM2f(x; y)‖, (0.1) where ρ is a fixed non-Archimedean number with |ρ| < 1, and ‖M2f(x; y)‖ ≤ ‖ρM1f(x; y)‖, (0.2) where ρ is a fixed non-Archimedean number with |ρ| < |2|. Furthermore, we prove the Hyers-Ulam stability of the additive-quadratic ρ-functional inequalities (0.1) and (0.2) in non-Archimedean Banach spaces.
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