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Generalizations of Kannan and Reich Fixed Point Theorems, Using Sequentially Convergent Mappings and Subadditive Altering Distance Functions

Author

Listed:
  • Alireza Pourmoslemi

    (Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran 43183-14556, Iran)

  • Shayesteh Rezaei

    (Departement of Mathematics, Aligudarz Branch, Islamic Azad University, Aligudarz 6861885914, Iran)

  • Tahereh Nazari

    (Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran 43183-14556, Iran)

  • Mehdi Salimi

    (Center for Dynamics and Institute for Analysis, Department of Mathematics, Technische Universität Dresden, 01069 Dresden, Germany
    DiGiES and Decisions Lab, University Mediterranea of Reggio Calabria, 89125 Reggio Calabria, Italy)

Abstract

In this paper, first, using interpolative Kannan type contractions, a new fixed point theorem has been proved. Then, by applying sequentially convergent mappings and using subadditive altering distance functions, we generalize contractions in complete metric spaces. Finally, we investigate some fixed point theorems which are generalizations of Kannan and Reich fixed points.

Suggested Citation

  • Alireza Pourmoslemi & Shayesteh Rezaei & Tahereh Nazari & Mehdi Salimi, 2020. "Generalizations of Kannan and Reich Fixed Point Theorems, Using Sequentially Convergent Mappings and Subadditive Altering Distance Functions," Mathematics, MDPI, vol. 8(9), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1432-:d:404346
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