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Fixed Points of Geraghty‐Type Mappings in Various Generalized Metric Spaces

Author

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  • Dušan Ðukić
  • Zoran Kadelburg
  • Stojan Radenović

Abstract

Fixed point theorems for mappings satisfying Geraghty‐type contractive conditions are proved in the frame of partial metric spaces, ordered partial metric spaces, and metric‐type spaces. Examples are given showing that these results are proper extensions of the existing ones.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:561245
    DOI: 10.1155/2011/561245
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    Cited by:

    1. Farzaneh Zabihi & Abdolrahman Razani, 2014. "Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b‐Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Preeti Kaushik & Sanjay Kumar & Kenan Tas, 2017. "A New Class of Contraction in b‐Metric Spaces and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2017(1).
    3. 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).
    4. Zorana Golubović & Zoran Kadelburg & Stojan Radenović, 2012. "Coupled Coincidence Points of Mappings in Ordered Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. 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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