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Comparison Functions and Fixed Point Results in Partial Metric Spaces

Author

Listed:
  • Nawab Hussain
  • Zoran Kadelburg
  • Stojan Radenović
  • Falleh Al-Solamy

Abstract

The aim of this article is to clearly formulate various possible assumptions for a comparison function in contractive conditions and to deduce respective (common) fixed point results in partial metric spaces. Since standard metric spaces are special cases, these results also apply for them. We will show by examples that there exist situations when a partial metric result can be applied, while the standard metric one cannot.

Suggested Citation

  • Nawab Hussain & Zoran Kadelburg & Stojan Radenović & Falleh Al-Solamy, 2012. "Comparison Functions and Fixed Point Results in Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:605781
    DOI: 10.1155/2012/605781
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    References listed on IDEAS

    as
    1. Dušan Ðukić & Zoran Kadelburg & Stojan Radenović, 2011. "Fixed Points of Geraghty‐Type Mappings in Various Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. Dušan Ðukić & Zoran Kadelburg & Stojan Radenović, 2011. "Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-13, December.
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    Citations

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    Cited by:

    1. N. Hussain & S. Al-Mezel & P. Salimi, 2013. "Fixed Points for ψ‐Graphic Contractions with Application to Integral Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. N. Hussain & E. Karapınar & S. Sedghi & N. Shobkolaei & S. Firouzian, 2014. "Cyclic (ϕ)‐Contractions in Uniform Spaces and Related Fixed Point Results," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. M. A. Kutbi & Jamshaid Ahmad & Nawab Hussain & Muhammad Arshad, 2013. "Common Fixed Point Results for Mappings with Rational Expressions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Sharifa Al-Sharif & Mohammad Al-Khaleel & Mona Khandaqji, 2012. "Coupled Fixed Point Theorems for Nonlinear Contractions in Partial Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-13, September.
    5. Monica-Felicia Bota & Erdal Karapınar & Oana Mleşniţe, 2013. "Ulam‐Hyers Stability Results for Fixed Point Problems via α‐ψ‐Contractive Mapping in (b)‐Metric Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Satish Shukla & Stojan Radenović, 2013. "Some Common Fixed Point Theorems for -Contraction Type Mappings in 0-Complete Partial Metric Spaces," Journal of Mathematics, Hindawi, vol. 2013, pages 1-7, March.
    7. Abd Ghafur Bin Ahmad & Zaid Mohammed Fadail & Vesna Ćojbašić Rajić & Stojan Radenović, 2012. "Nonlinear Contractions in 0‐Complete Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

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