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Nonlinear Contractions in 0‐Complete Partial Metric Spaces

Author

Listed:
  • Abd Ghafur Bin Ahmad
  • Zaid Mohammed Fadail
  • Vesna Ćojbašić Rajić
  • Stojan Radenović

Abstract

Using the setting of 0‐complete partial metric spaces, some common fixed point results of maps that satisfy the nonlinear contractive conditions are obtained. These results generalize and improve the existing fixed point results in the literature in the sense that weaker conditions are used. An example shows how our result can be used when the corresponding result in standard metric cannot.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:451239
    DOI: 10.1155/2012/451239
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    References listed on IDEAS

    as
    1. Nawab Hussain & Zoran Kadelburg & Stojan Radenović & Falleh Al-Solamy, 2012. "Comparison Functions and Fixed Point Results in Partial Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, June.
    2. 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).
    3. Zaid Mohammed Fadail & Abd Ghafur Bin Ahmad, 2012. "Coupled Fixed Point Theorems of Single-Valued Mapping for c -Distance in Cone Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-20, July.
    4. Zaid Mohammed Fadail & Abd Ghafur Bin Ahmad, 2012. "Coupled Fixed Point Theorems of Single‐Valued Mapping for c‐Distance in Cone Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    5. 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).
    6. 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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