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Cyclic Contractions on G‐Metric Spaces

Author

Listed:
  • E. Karapınar
  • A. Yıldız-Ulus
  • İ. M. Erhan

Abstract

Conditions for existence and uniqueness of fixed points of two types of cyclic contractions defined on G‐metric spaces are established and some illustrative examples are given. In addition, cyclic maps satisfying integral type contractive conditions are presented as applications.

Suggested Citation

  • E. Karapınar & A. Yıldız-Ulus & İ. M. Erhan, 2012. "Cyclic Contractions on G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:182947
    DOI: 10.1155/2012/182947
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    References listed on IDEAS

    as
    1. Hassen Aydi & Erdal Karapınar & Wasfi Shatanawi, 2012. "Tripled Fixed Point Results in Generalized Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Erdal Karapınar & Hemant Kumar Nashine, 2012. "Fixed Point Theorem for Cyclic Chatterjea Type Contractions," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-15, August.
    3. Erdal Karapınar & Hemant Kumar Nashine, 2012. "Fixed Point Theorem for Cyclic Chatterjea Type Contractions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    4. Zead Mustafa & Wasfi Shatanawi & Malik Bataineh, 2009. "Existence of Fixed Point Results in ð º -Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-10, July.
    5. Hassen Aydi & Erdal Karapınar & Wasfi Shatanawi, 2012. "Tripled Fixed Point Results in Generalized Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, May.
    Full references (including those not matched with items on IDEAS)

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