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

Author

Listed:
  • 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, Hindawi, vol. 2011, pages 1-13, December.
    • Handle: RePEc:hin:jnlaaa:561245
    DOI: 10.1155/2011/561245
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    Cited by:

    1. Haitham Qawaqneh & Mohd Salmi Md Noorani & Wasfi Shatanawi & Hassen Aydi & Habes Alsamir, 2019. "Fixed Point Results for Multi-Valued Contractions in b −Metric Spaces and an Application," Mathematics, MDPI, vol. 7(2), pages 1-13, February.
    2. Mihai Turinici, 2013. "Functional Contractive Maps in Triangular Symmetric Spaces," Journal of Mathematics, Hindawi, vol. 2013, pages 1-6, March.
    3. Debashis Dey & Amit Kumar Laha & Mantu Saha, 2013. "Approximate Coincidence Point of Two Nonlinear Mappings," Journal of Mathematics, Hindawi, vol. 2013, pages 1-4, March.
    4. Ahmed Al-Rawashdeh & Wasfi Shatanawi & Muna Khandaqji, 2012. "Normed Ordered and ð ¸ -Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-11, May.

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