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

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
  • Sushma Devi Department of Mathematics, Kanya Mahavidyalaya Kharkhoda (Maharshi Dayanand University), Kharkhoda 131402, Haryana, India https://orcid.org/0000-0003-3722-860X
  • Manoj Kumar Antil Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak 124021, Haryana, India https://orcid.org/0000-0003-4455-8690

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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Published

18-09-2023
CITATION

How to Cite

Rani, A., Devi, S., & Antil, M. K. (2023). Stability Results of the Additive-Quadratic Functional Equations in Random Normed Spaces by Using Direct and Fixed-Point Method. Communications in Mathematics and Applications, 14(2), 827–843. https://doi.org/10.26713/cma.v14i2.2148

Issue

Vol. 14 No. 2 (2023)

Section

Research Article

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