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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, Hindawi, vol. 2012, pages 1-12, August.
    • Handle: RePEc:hin:jnlaaa:451239
    DOI: 10.1155/2012/451239
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    Cited by:

    1. 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.
    2. Esra Yolacan, 2016. "Fixed Point Theorems for Geraghty Type Contractive Mappings and Coupled Fixed Point Results in 0-Complete Ordered Partial Metric Spaces," International Journal of Analysis, Hindawi, vol. 2016, pages 1-5, August.

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