Exploring the stability of two different forms of a same functional equation

Authors

DOI:

https://doi.org/10.56405/dngcrj.2024.09.01.03

Keywords:

Reciprocal functional Equation, Hyers-Ulam-Rassias Stability, Banach Space, General Solutions, Direct Method

Abstract

Within this manuscript, we shall delve into the direct method and explore the general solution as well as the classical stability of the ensuing reciprocal functional equation

[f(x-y+z)-f(3x+y-z)][f(x+y-z)+2f(x-y+z)]-2f(x-y+z)^2=0

in Banach spaces. Moreover, another objective of this work is to obtain another  interesting result of stability of the same equation but this time, we make a little change of the above equation and we obtain a new stability result however  with a supplementary condition on the mapping f.

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References

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Published

2024-12-30

How to Cite

Sadani, I. (2024). Exploring the stability of two different forms of a same functional equation. Dera Natung Government College Research Journal, 9(1), 28–35. https://doi.org/10.56405/dngcrj.2024.09.01.03

Issue

Vol. 9 No. 1 (2024)

Section

Articles

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