Stability Results of the Additive-Quadratic Functional Equations in Random Normed Spaces by Using Direct and Fixed-Point Method

Asha Rani; Sushma Devi; Manoj Kumar Antil

doi:10.26713/cma.v14i2.2148

Authors

Asha Rani Department of Mathematics, Pandit Neki Ram Sharma Government College (Maharshi Dayanand University), Rohtak 124001, Haryana, India; Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak 124021, Haryana, India https://orcid.org/0009-0009-0373-4732 (unauthenticated)
Sushma Devi Department of Mathematics, Kanya Mahavidyalaya Kharkhoda (Maharshi Dayanand University), Kharkhoda 131402, Haryana, India https://orcid.org/0000-0003-3722-860X (unauthenticated)
Manoj Kumar Antil Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak 124021, Haryana, India https://orcid.org/0000-0003-4455-8690 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v14i2.2148

Keywords:

Hyers-Ulam stability, Additive functional equations, Quadratic functional equations, Random normed spaces, Fixed point method, Direct method

Abstract

In this paper, we prove the Hyers-Ulam stability of different additive-quadratic functional equations in Random Normed Space (RN-Space) by direct and fixed-point method.

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References

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