박춘길
2018-03-26T04:06:00Z
2018-03-26T04:06:00Z
2014-10
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v. 7, no. 5, Page. 296-310
2008-1898
2008-1901
http://hdl.handle.net/20.500.11754/52227
https://www.isr-publications.com/jnsa/articles-1672-additive-rho-functional-inequalities
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.
This work was supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (NRF-2012R1A1A2004299).
en
INT SCIENTIFIC RESEARCH PUBLICATIONS
Hyers-Ulam stability
additive rho-functional equation
additive rho-functional inequality
non-Archimedean normed space
Banach space
Additive rho-functional inequalities
Article
7
296-310
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
Park, Choonkil
2014042597
S
COLLEGE OF NATURAL SCIENCES[S]
DEPARTMENT OF MATHEMATICS
baak
F-6998-2017