On approximate solution of lattice functional equations in Banach <em>f</em>-algebras

Ehsan Movahednia; Young Cho; Choonkil Park; Siriluk Paokanta; Ehsan Movahednia; Young Cho; Choonkil Park; Siriluk Paokanta

doi:10.3934/math.2020350

AIMS Mathematics

2020, Volume 5, Issue 6: 5458-5469. doi: 10.3934/math.2020350

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Research article

On approximate solution of lattice functional equations in Banach f-algebras

1.
Department of Mathematics, Behbahan Khatam Alanbia University of Technology, Behbahan, Iran
2.
Faculty of Electrical and Electronics Engineering, Ulsan College, Ulsan 44919, Korea
3.
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

Received: 08 June 2020 Accepted: 22 June 2020 Published: 24 June 2020
MSC : 39B82, 46A40, 97H50, 46B422

The aim of the current manuscript is to prove the Hyers-Ulam stability of supremum, infimum and multiplication preserving functional equations in Banach f -algebras. In fact, by using the direct method and the fixed point method, the Hyers-Ulam stability of the functional equations is proved.
- Hyers-Ulam stability,
- functional equation,
- Banach lattice,
- f -algebra,
- fixed point method
Citation: Ehsan Movahednia, Young Cho, Choonkil Park, Siriluk Paokanta. On approximate solution of lattice functional equations in Banach f-algebras[J]. AIMS Mathematics, 2020, 5(6): 5458-5469. doi: 10.3934/math.2020350

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Abstract

The aim of the current manuscript is to prove the Hyers-Ulam stability of supremum, infimum and multiplication preserving functional equations in Banach f -algebras. In fact, by using the direct method and the fixed point method, the Hyers-Ulam stability of the functional equations is proved.

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