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Additive (ρ1, ρ2)-functional inequalities in complex Banach spaces
- Authors
- Park, C; Shin, DY; Anastassiou, GA
- Issue Date
- Aug-2019
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; additive (ρ1, ρ2)-functional inequality; fixed point method; direct method; Banach space
- Citation
- Journal of Computational Analysis and Applications, v.27, no.2, pp 367 - 379
- Pages
- 13
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 27
- Number
- 2
- Start Page
- 367
- End Page
- 379
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, we introduce and solve the following additive (ρ1, ρ2)-functional in-equalities [Formula presented] where ρ1 and ρ2 are fixed complex numbers with |ρ1| ·|ρ2| ˃ 1, and [formula presented] where ρ1 and ρ2 are fixed complex numbers with |ρ1| ˃ 1. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (ρ1, ρ2)-functional inequalities (0.1) and (0.2) in complex Banach spaces.
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