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Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b‐Metric Spaces

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  • Farzaneh Zabihi
  • Abdolrahman Razani

Abstract

We introduce the new notion of a hybrid rational Geraghty contractive mapping and investigate the existence of fixed point and coincidence point for such mappings in ordered b‐metric spaces. We also provide an example to illustrate the results presented herein. Finally, we establish an existence theorem for a solution of an integral equation.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:929821
    DOI: 10.1155/2014/929821
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    References listed on IDEAS

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    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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