Stability of an <em>n</em>-variable mixed type functional equation in probabilistic modular spaces

Murali Ramdoss; Divyakumari Pachaiyappan; Inho Hwang; Choonkil Park; Murali Ramdoss; Divyakumari Pachaiyappan; Inho Hwang; Choonkil Park

doi:10.3934/math.2020378

AIMS Mathematics

2020, Volume 5, Issue 6: 5903-5915. doi: 10.3934/math.2020378

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Research article

Stability of an n-variable mixed type functional equation in probabilistic modular spaces

1.
PG and Research Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur 635 601, TamilNadu, India
2.
Department of Mathematics, Incheon National University, Incheon 22012, Korea
3.
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

Received: 15 May 2020 Accepted: 13 July 2020 Published: 15 July 2020
MSC : 39B72, 68U10, 94A08, 47H10, 39B52

In this research paper, we solve a new n-variable mixed type additive-quadratic functional equation and prove the Ulam stability of the new n-variable mixed type additive-quadratic functional equation in probabilistic modular spaces by using fixed point method.
- Ulam stability,
- functional equation,
- probabilistic modular space,
- fixed point method
Citation: Murali Ramdoss, Divyakumari Pachaiyappan, Inho Hwang, Choonkil Park. Stability of an n-variable mixed type functional equation in probabilistic modular spaces[J]. AIMS Mathematics, 2020, 5(6): 5903-5915. doi: 10.3934/math.2020378

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Abstract

In this research paper, we solve a new n-variable mixed type additive-quadratic functional equation and prove the Ulam stability of the new n-variable mixed type additive-quadratic functional equation in probabilistic modular spaces by using fixed point method.

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