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Additive-Quadratic Functional Equations

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Stability of Some Advanced Functional Equations in Various Spaces

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 479))

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Abstract

The chapter investigates the general solution of a new additive-quadratic functional equation. It establishes that an additive-quadratic function admits, in appropriate conditions, a unique additive-quadratic map** satisfying the corresponding functional equation. Finally, it discusses the Hyers-Ulam stability of the additive-quadratic functional equation mixed case by using the direct method and the fixed-point method, respectively.

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Authors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, Assam, India

    Hemen Dutta

  2. Department of Science and Humanities, DMI—St. John the Baptist University, Malawi, Central African Republic

    Vediyappan Govindan

  3. Research Institute of Natural Sciences, Hanyang University, Seoul, Korea (Republic of)

    Choonkil Park

  4. Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket, Thailand

    R. Vadivel

Authors
  1. Hemen Dutta
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  2. Vediyappan Govindan
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  3. Choonkil Park
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  4. R. Vadivel
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Corresponding author

Correspondence to Hemen Dutta .

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© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Dutta, H., Govindan, V., Park, C., Vadivel, R. (2023). Additive-Quadratic Functional Equations. In: Stability of Some Advanced Functional Equations in Various Spaces. Studies in Systems, Decision and Control, vol 479. Springer, Cham. https://doi.org/10.1007/978-3-031-33704-8_8

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  • DOI: https://doi.org/10.1007/978-3-031-33704-8_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-33703-1

  • Online ISBN: 978-3-031-33704-8

  • eBook Packages: EngineeringEngineering (R0)

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