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Fixed Point Results of Expansive Mappings in Metric Spaces

Author

Listed:
  • Seher Sultan Yeşilkaya

    (Institute of Science and Technology, Kahramanmaraş Sütçü İmam University, Kahramanmaraş 46040, Turkey)

  • Cafer Aydın

    (Department of Mathematics, Kahramanmaraş Sütçü İmam University, Kahramanmaraş 46040, Turkey)

Abstract

In this study, we introduce the concept of θ -expansive mapping in ordered metric spaces and prove a fixed point theorem for such mappings. We give some fixed point results for θ -expansive mapping in metric spaces and prove fixed point theorems for such mappings. These results extend the main results of many comparable results from the current literature. We also obtain a common fixed point theorem of two weakly compatible mappings in metric spaces. Finally, the examples are presented to support the new theorems and results proved.

Suggested Citation

  • Seher Sultan Yeşilkaya & Cafer Aydın, 2020. "Fixed Point Results of Expansive Mappings in Metric Spaces," Mathematics, MDPI, vol. 8(10), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1800-:d:428992
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    References listed on IDEAS

    as
    1. E. Karapınar & D. K. Patel & M. Imdad & D. Gopal, 2013. "Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2013, pages 1-8, February.
    2. Poom Kumam & Fayyaz Rouzkard & Mohammad Imdad & Dhananjay Gopal, 2013. "Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, August.
    Full references (including those not matched with items on IDEAS)

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