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The stability of an additive (ρ1, ρ2)-functional inequality in Banach spaces

Title
The stability of an additive (ρ1, ρ2)-functional inequality in Banach spaces
Other Titles
THE STABILITY OF AN ADDITIVE (rho(1), rho(2))-FUNCTIONAL INEQUALITY IN BANACH SPACES
Author
박춘길
Keywords
Hyers-Ulam stability; additive (ρ1,ρ2) -functional inequality; fixed point method; direct method; Banach space; additive (rho(1), rho(2))-functional inequality
Issue Date
2019-03
Publisher
ELEMENT
Citation
JOURNAL OF MATHEMATICAL INEQUALITIES, v. 13, NO 1, Page. 95-104
Abstract
In this paper, we introduce and solve the following additive (ρ1,ρ2) -functional inequality where ρ1 and ρ2 are fixed nonzero complex numbers with √2|ρ1|+|ρ2| < 1. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (ρ1,ρ2) -functional inequality (1) in complex Banach spaces.
URI
http://jmi.ele-math.com/13-07/The-stability-of-an-additive-(rho_1,-rho_2)-functional-inequality-in-Banach-spaceshttps://repository.hanyang.ac.kr/handle/20.500.11754/106085
ISSN
1846-579X
DOI
10.7153/jmi-2019-13-07
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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