Abstract
In this paper, we introduce and solve the following additive (ρ 1, ρ 2)-functional inequalities:
where ρ 1 and ρ 2 are fixed complex numbers with |ρ 1| + |ρ 2| > 1, and
where ρ 1 and ρ 2 are fixed complex numbers with 1 + |ρ 1| > |ρ 2| > 1. Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of the additive (ρ 1, ρ 2)-functional inequalities (2) and (1) in complex Banach spaces.
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Acknowledgements
C. Park was supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (NRF-2017R1D1A1B04032937).
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Lee, J.R., Park, C., Rassias, T.M. (2020). Additive (ρ1, ρ2)-Functional Inequalities in Complex Banach Spaces. In: Daras, N., Rassias, T. (eds) Computational Mathematics and Variational Analysis. Springer Optimization and Its Applications, vol 159. Springer, Cham. https://doi.org/10.1007/978-3-030-44625-3_13
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DOI: https://doi.org/10.1007/978-3-030-44625-3_13
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