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A New Hyperstability Result for the Multi-Drygas Equation Via the Brzdȩk’s Fixed Point Approach

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Abstract

In this paper we first introduce a new concept of a functional equation called multi-Drygas equation. We deal with the generalized hyperstability results of the multi-Drygas functional equation on a restricted domain by applying the Brzdȩk’s fixed point theorem (Brzdȩk et al. in Nonlinear Anal. 74: 6728–6732, 2011, Theorem 1). Our main results improve and generalize results obtained in Aiemsombonn and Sintunavarat (Bull Aust Math Soc 92: 269–280, 2016), El-Fassi(J Fixed Point Theory Appl 9: 2529–2540, 2017), Piszczek, Szczawińska(J Funct Spaces Appl 2013: 912718, 2013) . Some applications of our results are also provided.

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Acknowledgements

The authors would like to express their thanks to the anonymous referees for their careful reading and valuable suggestions that helped improve the quality of the paper. We would also like to express our sincere thanks to Professors J. Brzdȩk and K. Ciepliński for the useful information and discussions on the hyperstability of functional equations.

Funding

The second author was supported by the Japan Society for the Promotion of Science (JSPS) KAKENHI Grant Number JP20K03668.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences and Techniques, S. M. Ben Abdellah University, 2202, Fez, Morocco

    Iz-iddine EL-Fassi

  2. Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran

    Abbas Najati

  3. Department of Applied Mathematics, Okayama University of Science, 700-0005, Okayama, Japan

    Masakazu Onitsuka

  4. Department of Mathematics, National Technical University of Athens Zografou Campus, 15780, Athens, Greece

    Themistocles M. Rassias

Authors
  1. Iz-iddine EL-Fassi
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  2. Abbas Najati
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  3. Masakazu Onitsuka
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  4. Themistocles M. Rassias
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Contributions

All authors contributed to the study conception and design. The first draft of the manuscript was written by I-i E-F and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Abbas Najati.

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EL-Fassi, Ii., Najati, A., Onitsuka, M. et al. A New Hyperstability Result for the Multi-Drygas Equation Via the Brzdȩk’s Fixed Point Approach. Results Math 78, 92 (2023). https://doi.org/10.1007/s00025-023-01862-1

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