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Ulam-Hyers Stability of Functional Equations in Quasi-β-Banach Spaces

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Ulam Type Stability

Abstract

In this chapter, we give a survey on Ulam-Hyers stability of functional equations in quasi-β-Banach spaces, in particular in p-Banach spaces, quasi-Banach spaces and (β, p)-Banach spaces.

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Acknowledgements

The authors sincerely thank the anonymous reviewers for their helpful comments. The authors also thank members of The Dong Thap Group of Mathematical Analysis and its Applications, Dong Thap University, Vietnam for their discussions on the manuscript. This project was partially completed while the first author visited the Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Thailand

The second author would like to thank the Thailand Research Fund and Office of the Higher Education Commission under grant no. MRG6180283 for financial support during the preparation of this manuscript.

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Authors and Affiliations

  1. Faculty of Mathematics Teacher Education, Dong Thap University, Cao Lanh, Dong Thap, Vietnam

    Nguyen Van Dung

  2. Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani, Thailand

    Wutiphol Sintunavarat

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  1. Nguyen Van Dung
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Correspondence to Wutiphol Sintunavarat .

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Editors and Affiliations

  1. Department of Applied Mathematics, AGH University of Science and Technology, Krakow, Poland

    Janusz Brzdęk

  2. Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, Romania

    Dorian Popa

  3. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Dung, N.V., Sintunavarat, W. (2019). Ulam-Hyers Stability of Functional Equations in Quasi-β-Banach Spaces. In: Brzdęk, J., Popa, D., Rassias, T. (eds) Ulam Type Stability . Springer, Cham. https://doi.org/10.1007/978-3-030-28972-0_5

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