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Cyclic Contractions and Fixed Point Results via Control Functions on Partial Metric Spaces

Author

Listed:
  • Hemant Kumar Nashine
  • Zoran Kadelburg

Abstract

Cyclic weaker-type contraction conditions involving a generalized control function (with two variables) are used for mappings on 0-complete partial metric spaces to obtain fixed point results, thus generalizing several known results. Various examples are presented showing how the obtained theorems can be used and that they are proper extensions of the known ones.

Suggested Citation

  • Hemant Kumar Nashine & Zoran Kadelburg, 2013. "Cyclic Contractions and Fixed Point Results via Control Functions on Partial Metric Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-9, February.
    • Handle: RePEc:hin:ijanal:726387
    DOI: 10.1155/2013/726387
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    References listed on IDEAS

    as
    1. 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.
    2. Erdal Karapınar & I. Savas Yuce, 2012. "Fixed Point Theory for Cyclic Generalized Weak ϕ‐Contraction on Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Abdul Rahim Khan & Mujahid Abbas & Talat Nazir & Cristiana Ionescu, 2014. "Fixed Points of Multivalued Contractive Mappings in Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Erdal Karapınar & Vladimir Rakocević, 2013. "On Cyclic Generalized Weakly C‐Contractions on Partial Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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