Ulam stability of a functional equation deriving from quadratic and additive mappings in random normed spaces

Kandhasamy Tamilvanan; Jung Rye Lee; Choonkil Park; Kandhasamy Tamilvanan; Jung Rye Lee; Choonkil Park

doi:10.3934/math.2021054

AIMS Mathematics

2021, Volume 6, Issue 1: 908-924. doi: 10.3934/math.2021054

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Research article

Ulam stability of a functional equation deriving from quadratic and additive mappings in random normed spaces

1.
Department of Mathematics, Government Arts College (Men), Krishnagiri, Tamil Nadu 635 001, India
2.
Department of Mathematics, Daejin University, Kyunggi 11159, Korea
3.
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

Received: 01 September 2020 Accepted: 29 October 2020 Published: 05 November 2020
MSC : 39B52, 39B72, 39B82

The aim of this work is to introduce a new mixed type quadratic-additive functional equation, to obtain its general solution and to investigate Ulam stability by using Hyers method in random normed spaces.
- Ulam stability,
- random normed space,
- quadratic-additive functional equation
Citation: Kandhasamy Tamilvanan, Jung Rye Lee, Choonkil Park. Ulam stability of a functional equation deriving from quadratic and additive mappings in random normed spaces[J]. AIMS Mathematics, 2021, 6(1): 908-924. doi: 10.3934/math.2021054

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Abstract

The aim of this work is to introduce a new mixed type quadratic-additive functional equation, to obtain its general solution and to investigate Ulam stability by using Hyers method in random normed spaces.

References

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