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Bi-additive s-functional inequalities and biderivation in modular spaces

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Abstract

In this article, by using the fixed point method, we prove the generalized Hyers–Ulam stability of biderivations from an algebra to a modular space, associated to bi-additive s-functional inequalities.

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Acknowledgements

The author would like to thank the Professor Anthony To-Ming Lau for valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics and Computer Sciences, Hakim Sabzevari University, P.O. Box 397, Sabzevar, Iran

    T. L. Shateri

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  1. T. L. Shateri
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Correspondence to T. L. Shateri.

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This article does not contain any studies with human participants or animals performed by author.

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Communicated by Samy Ponnusamy.

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Shateri, T.L. Bi-additive s-functional inequalities and biderivation in modular spaces. J Anal 29, 1279–1295 (2021). https://doi.org/10.1007/s41478-021-00311-y

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  • DOI: https://doi.org/10.1007/s41478-021-00311-y

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