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Stability of Unbounded Differential Equations in Menger k -Normed Spaces: A Fixed Point Technique

Author

Listed:
  • Masoumeh Madadi

    (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 1477893855, Iran)

  • Reza Saadati

    (School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran)

  • Manuel De la Sen

    (Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, 48940 Leioa, Bizkaia, Spain)

Abstract

We attempt to solve differential equations υ ′ ( ν ) = Γ ( ν , υ ( ν ) ) and use the fixed point technique to prove its Hyers–Ulam–Rassias stability in Menger k -normed spaces.

Suggested Citation

  • Masoumeh Madadi & Reza Saadati & Manuel De la Sen, 2020. "Stability of Unbounded Differential Equations in Menger k -Normed Spaces: A Fixed Point Technique," Mathematics, MDPI, vol. 8(3), pages 1-10, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:400-:d:331044
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    References listed on IDEAS

    as
    1. Soon-Mo Jung & Themistocles M. Rassias, 2010. "A Fixed Point Approach to the Stability of a Logarithmic Functional Equation," Springer Optimization and Its Applications, in: Panos M. Pardalos & Themistocles M. Rassias & Akhtar A. Khan (ed.), Nonlinear Analysis and Variational Problems, chapter 0, pages 99-109, Springer.
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