Additive rho-functional inequalities

- Title
- Additive rho-functional inequalities

- Author
- 박춘길

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

- Issue Date
- 2014-10

- Publisher
- INT SCIENTIFIC RESEARCH PUBLICATIONS

- Citation
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v. 7, no. 5, Page. 296-310

- 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, (1) parallel to 2f(x + y/2) - f(x) - f(y)parallel to ˂= parallel to rho(f(x + y) - f(x) - f(y))parallel to, (2) where rho is a fixed non-Archimedean number with vertical bar rho vertical bar ˂ 1 or rho is a fixed complex number with vertical bar rho vertical bar ˂ 1. Using the direct method, we prove the Hyers-Ulam stability of the additive rho-functional inequalities (I) and (2) in non-Archimedean Banach spaces and in complex Banach spaces, and prove the Hyers-Ulam stability of additive rho-functional equations associated with the additive rho-functional inequalities (1) and (2) in non-Archimedean Banach spaces and in complex Banach spaces. (C)2014 All rights reserved.

- URI
- http://hdl.handle.net/20.500.11754/52227https://www.isr-publications.com/jnsa/articles-1672-additive-rho-functional-inequalities

- ISSN
- 2008-1898; 2008-1901

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

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