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

Mohammad Maleki V., S. Mansour Vaezpour and Reza Saadati
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Mohammad Maleki V.: Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran 15875-4413, Iran
S. Mansour Vaezpour: Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran 15875-4413, Iran
Reza Saadati: Department of Mathematics, Iran University of Science and Technology, Tehran 15875-4413, Iran

Mathematics, 2018, vol. 6, issue 2, 1-12

Abstract: 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 .

Keywords: stability; fixed point; lattictic random Banach space; ρ -functional equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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