ADDITIVE rho-FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN NORMED SPACES

- Title
- ADDITIVE rho-FUNCTIONAL INEQUALITIES IN NON-ARCHIMEDEAN NORMED SPACES

- Author
- 박춘길

- Keywords
- Hyers-Ulam stability; additive rho-functional equation; additive rho-functional inequality; non-Archimedean normed space

- Issue Date
- 2015-06

- Publisher
- ELEMENT

- Citation
- JOURNAL OF MATHEMATICAL INEQUALITIES, v. 9, NO 2, Page. 397-407

- 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. Furthermore, we prove the Hyers-Ulam stability of the additive rho-functional inequalities (0.1) and (0.2) in non-Archimedean Banach spaces and prove the Hyers-Ulam stability of additive rho-functional equations associated with the additive rho-functional inequalities (0.1) and (0.2) in non-Archimedean Banach spaces.

- URI
- http://jmi.ele-math.com/09-33/Additive-rho-functional-inequalities-in-non-Archimedean-normed-spaceshttp://hdl.handle.net/20.500.11754/25858

- ISSN
- 1846-579X

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

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