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Open AccessArticle

Nonlinear Stability of ρ-Functional Equations in Latticetic Random Banach Lattice Spaces

1
Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran 15875-4413, Iran
2
Department of Mathematics, Iran University of Science and Technology, Tehran 15875-4413, Iran
*
Author to whom correspondence should be addressed.
Current address: Department of Mechanical Engineering, Amirkabir University of Technology, 424 Hafez Ave, Tehran 15875-4413, Iran.
Mathematics 2018, 6(2), 22; https://doi.org/10.3390/math6020022
Received: 27 December 2017 / Revised: 5 February 2018 / Accepted: 6 February 2018 / Published: 9 February 2018
(This article belongs to the Special Issue Stability Problems)
In this paper, we prove the generalized nonlinear stability of the first and second of the following ρ -functional equations, G ( | a | Δ A * | b | ) Δ B * G ( | a | Δ A * * | b | ) G ( | a | ) Δ B * * G ( | b | ) = ρ ( 2 G | a | Δ A * | b | 2 Δ B * G | a | Δ A * * | b | 2 G ( | a | ) Δ B * * G ( | b | ) ) , and 2 G | a | Δ A * | b | 2 Δ B * G | a | Δ A * * | b | 2 G ( | a | ) Δ B * * G ( | b | ) = ρ G ( | a | Δ A * | b | ) Δ B * G ( | a | Δ A * * | b | ) G ( | a | ) Δ B * * G ( | b | ) in latticetic random Banach lattice spaces, where ρ is a fixed real or complex number with ρ 1 . View Full-Text
Keywords: stability; fixed point; lattictic random Banach space; ρ-functional equations stability; fixed point; lattictic random Banach space; ρ-functional equations
MDPI and ACS Style

Maleki V., M.; Vaezpour, S.M.; Saadati, R. Nonlinear Stability of ρ-Functional Equations in Latticetic Random Banach Lattice Spaces. Mathematics 2018, 6, 22.

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