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Some Fixed and Periodic Points in Abstract Metric Spaces

Author

Listed:
  • Abd Ghafur Bin Ahmad
  • Zaid Mohammed Fadail
  • Mujahid Abbas
  • Zoran Kadelburg
  • Stojan Radenović

Abstract

We generalize in this paper some results on common fixed points of two, respectively four, contractive‐type mappings in abstract metric spaces by removing condition of normality of the cone in their formulations. Further, some results about periodic points of self‐maps are extended to the setting of abstract metric spaces.

Suggested Citation

  • Abd Ghafur Bin Ahmad & Zaid Mohammed Fadail & Mujahid Abbas & Zoran Kadelburg & Stojan Radenović, 2012. "Some Fixed and Periodic Points in Abstract Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:908423
    DOI: 10.1155/2012/908423
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    References listed on IDEAS

    as
    1. Klaus Deimling, 1985. "Nonlinear Functional Analysis," Springer Books, Springer, number 978-3-662-00547-7, October.
    2. 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.
    3. Zaid Mohammed Fadail & Abd Ghafur Bin Ahmad & Ljiljana Paunović, 2012. "New Fixed Point Results of Single‐Valued Mapping for c‐Distance in Cone Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    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. Zaid Mohammed Fadail & Abd Ghafur Bin Ahmad, 2012. "Common Coupled Fixed Point Theorems of Single‐Valued Mapping for c‐Distance in Cone Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    6. Zaid Mohammed Fadail & Abd Ghafur Bin Ahmad & Ljiljana Paunović, 2012. "New Fixed Point Results of Single-Valued Mapping for c -Distance in Cone Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-12, September.
    7. Zaid Mohammed Fadail & Abd Ghafur Bin Ahmad, 2012. "Common Coupled Fixed Point Theorems of Single-Valued Mapping for c -Distance in Cone Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-24, August.
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    Cited by:

    1. Fawzia Shaddad & Mohd Salmi Md Noorani, 2013. "Fixed Point Results in Quasi‐Cone Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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