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Rearrangements, L-Superadditivity and Jensen-Type Inequalities Read chapter Read first chapter

2022 | OriginalPaper | Chapter

Hyperstability of Orthogonally 3-Lie Homomorphism: An Orthogonally Fixed Point Approach

Authors : Vahid Keshavarz, Sedigheh Jahedi

Published in: Approximation and Computation in Science and Engineering

Publisher: Springer International Publishing

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Abstract

In this chapter, by using the orthogonally fixed point method, we prove the Hyers–Ulam stability and the hyperstability of orthogonally 3-Lie homomorphisms for additive ρ-functional equation in 3-Lie algebras. Indeed, we investigate the stability and the hyperstability of the system of functional equations
$$\displaystyle \begin{array}{@{}rcl@{}} \left \{ \begin {array}{ll} f(x+y)-f(x)-f(y)= \rho \left (2f\left (\frac {x+y}{2}\right )+ f(x)+ f(y)\right ),\\ f([[u,v],w])=[[f(u),f(v)],f(w)] \end {array} \right . \end{array} $$
in 3-Lie algebras where ρ≠1 is a fixed real number.

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previous chapter Some New Fractional Inequalities Using n-Polynomials s-Type Convexity
next chapter Some New Inequalities for Fractional Integral Operators
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Metadata
Title
Hyperstability of Orthogonally 3-Lie Homomorphism: An Orthogonally Fixed Point Approach
Authors
Vahid Keshavarz
Sedigheh Jahedi
Copyright Year
2022
Book
Approximation and Computation in Science and Engineering

Print ISBN: 978-3-030-84121-8

Electronic ISBN: 978-3-030-84122-5

Copyright Year: 2022

DOI
https://doi.org/10.1007/978-3-030-84122-5_25

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