Additive rho-functional inequalities in normed spaces

Title
Additive rho-functional inequalities in normed spaces
Authors
박춘길
Keywords
Additive rho-functional inequality; fixed point; Hyers-Ulam stability
Issue Date
2016-02
Publisher
INT SCIENTIFIC RESEARCH PUBLICATIONS
Citation
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v. 9, NO 1, Page. 247-253
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) and 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 number with vertical bar rho vertical bar ˂ 1. Using the fixed point method, we prove the Hyers-Ulam stability of the additive functional inequalities (1) and (2) in normed spaces. (C)2016 All rights reserved.
URI
http://www.isr-publications.com/jnsa/articles-1818-additive-rho-functional-inequalities-in-normed-spaceshttp://hdl.handle.net/20.500.11754/31781
ISSN
2008-1898; 2008-1901
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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