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A New Fixed Point Theorem and a New Generalized Hyers-Ulam-Rassias Stability in Incomplete Normed Spaces

Author

Listed:
  • Maryam Ramezani

    (Department of Mathematics, University of Bojnord, 94531 Bojnord, Iran)

  • Ozgur Ege

    (Department of Mathematics, Ege University, Bornova, 35100 Izmir, Turkey)

  • Manuel De la Sen

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

Abstract

In this study, our goal is to apply a new fixed point method to prove the Hyers-Ulam-Rassias stability of a quadratic functional equation in normed spaces which are not necessarily Banach spaces. The results of the present paper improve and extend some previous results.

Suggested Citation

  • Maryam Ramezani & Ozgur Ege & Manuel De la Sen, 2019. "A New Fixed Point Theorem and a New Generalized Hyers-Ulam-Rassias Stability in Incomplete Normed Spaces," Mathematics, MDPI, vol. 7(11), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1117-:d:287696
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    References listed on IDEAS

    as
    1. George Isac & Themistocles M. Rassias, 1996. "Stability of ψ -additive mappings: applications to nonlinear analysis," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 19, pages 1-10, January.
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