Stability results of the functional equation deriving from quadratic function in random normed spaces

Nazek Alessa; K. Tamilvanan; G. Balasubramanian; K. Loganathan; Nazek Alessa; K. Tamilvanan; G. Balasubramanian; K. Loganathan

doi:10.3934/math.2021145

AIMS Mathematics

2021, Volume 6, Issue 3: 2385-2397. doi: 10.3934/math.2021145

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Research article

Stability results of the functional equation deriving from quadratic function in random normed spaces

1.
Department of Mathematical Sciences, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia
2.
Department of Mathematics, Government Arts College for Men, Krishnagiri-635 001, Tamil Nadu, India
3.
Department of Mathematics, Erode Arts & Science College, Erode-638 009, Tamil Nadu, India

Received: 21 September 2020 Accepted: 15 December 2020 Published: 18 December 2020
MSC : Primary: 54E40, 39B82, 46S50, 46S40

The authors introduce a finite variable quadratic functional equation and derive its solution. Also, authors examine its Hyers-Ulam stability in Random Normed space(RN-space) by means of two different methods.
- quadratic functional equation,
- Hyers-Ulam stability,
- fixed point theory,
- random normed spaces
Citation: Nazek Alessa, K. Tamilvanan, G. Balasubramanian, K. Loganathan. Stability results of the functional equation deriving from quadratic function in random normed spaces[J]. AIMS Mathematics, 2021, 6(3): 2385-2397. doi: 10.3934/math.2021145

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Abstract

The authors introduce a finite variable quadratic functional equation and derive its solution. Also, authors examine its Hyers-Ulam stability in Random Normed space(RN-space) by means of two different methods.

References

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