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Ulam Stabilities and Instabilities of Euler–Lagrange-Rassias Quadratic Functional Equation in Non-Archimedean IFN Spaces

Author

Listed:
  • Kandhasamy Tamilvanan

    (Department of Mathematics, School of Advanced Sciences, Kalasalingam Academy of Research and Education, Krishnankoil, Srivilliputhur 626126, India
    These authors contributed equally to this work.)

  • Abdulaziz Mohammed Alanazi

    (Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
    These authors contributed equally to this work.)

  • John Michael Rassias

    (Pedagogical Department-Mathematics & Informatics, The National and Kapodistrian University of Athens, 10679 Athens, Greece
    These authors contributed equally to this work.)

  • Ali H. Alkhaldi

    (Department of Mathematics, College of Science, King Khalid University, Abha 61421, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

In this paper, we use direct and fixed-point techniques to examine the generalised Ulam–Hyers stability results of the general Euler–Lagrange quadratic mapping in non-Archimedean IFN spaces (briefly, non-Archimedean Intuitionistic Fuzzy Normed spaces) over a field.

Suggested Citation

  • Kandhasamy Tamilvanan & Abdulaziz Mohammed Alanazi & John Michael Rassias & Ali H. Alkhaldi, 2021. "Ulam Stabilities and Instabilities of Euler–Lagrange-Rassias Quadratic Functional Equation in Non-Archimedean IFN Spaces," Mathematics, MDPI, vol. 9(23), pages 1-16, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:3063-:d:690243
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    References listed on IDEAS

    as
    1. Zbigniew Gajda, 1991. "On stability of additive mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-4, January.
    2. Sang Og Kim & Kandhasamy Tamilvanan, 2021. "Fuzzy Stability Results of Generalized Quartic Functional Equations," Mathematics, MDPI, vol. 9(2), pages 1-13, January.
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    Cited by:

    1. P. Agilan & Mohammed M. A. Almazah & K. Julietraja & Ammar Alsinai, 2023. "Classical and Fixed Point Approach to the Stability Analysis of a Bilateral Symmetric Additive Functional Equation in Fuzzy and Random Normed Spaces," Mathematics, MDPI, vol. 11(3), pages 1-19, January.

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