Hyers-Ulam stability; additive (ρ1; ρ2)-functional inequality; ¯xed point method; direct method; Banach space.
Issue Date
2018-05
Publisher
한국수학교육학회
Citation
순수 및 응용수학, v. 25, no. 2, page. 161-170
Abstract
In this paper, we introduce and solve the following additive (p1, p2)-functional inequality where p1 and p2 are fixed nonzero complex numbers with|p1 | + |p2|< 2.Using the fixed point method and the direct method, we prove the Hyers- Ulam stability of the additive (p1; p2)-functional inequality (0.1) in complex Banach spaces.