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Existence of Fixed Point Results in ð º -Metric Spaces

Author

Listed:
  • Zead Mustafa
  • Wasfi Shatanawi
  • Malik Bataineh

Abstract

The purpose of this paper is to prove the existence of fixed points of contractive mapping defined on ð º -metric space where the completeness is replaced with weaker conditions. Moreover, we showed that these conditions do not guarantee the completeness of ð º -metric spaces.

Suggested Citation

  • Zead Mustafa & Wasfi Shatanawi & Malik Bataineh, 2009. "Existence of Fixed Point Results in ð º -Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-10, July.
    • Handle: RePEc:hin:jijmms:283028
    DOI: 10.1155/2009/283028
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    Citations

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    Cited by:

    1. Mila Stojaković & Ljiljana Gajić & Biljana Carić, 2013. "Fixed Point and Subfixed Point for Fuzzy Mappings in Generalized Metric Fuzzy Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Hassen Aydi & Sana Hadj Amor & Erdal Karapinar, 2013. "Some Almost Generalized (ψ, ϕ)‐Contractions in G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Feng Gu & Yun Yin, 2013. "Common Fixed Point for Three Pairs of Self‐Maps Satisfying Common (E.A) Property in Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Hassen Aydi & Erdal Karapınar & Peyman Salimi, 2012. "Some Fixed Point Results in GP‐Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    5. A. Razani & V. Parvaneh, 2012. "On Generalized Weakly G‐Contractive Mappings in Partially Ordered G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    6. Feng Gu, 2012. "Common Fixed Point Theorems for Six Mappings in Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    7. Zead Mustafa, 2012. "Some New Common Fixed Point Theorems under Strict Contractive Conditions in G‐Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    8. Manish Jain & Kenan Taş, 2013. "A Unique Coupled Common Fixed Point Theorem for Symmetric (φ, ψ)‐Contractive Mappings in Ordered G‐Metric Spaces with Applications," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    9. Hongqing Ye & Feng Gu, 2012. "Common Fixed Point Theorems for a Class of Twice Power Type Contraction Maps in G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    10. E. Karapınar & A. Yıldız-Ulus & İ. M. Erhan, 2012. "Cyclic Contractions on G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    11. Wei Long & Mujahid Abbas & Talat Nazir & Stojan Radenović, 2012. "Common Fixed Point for Two Pairs of Mappings Satisfying (E.A) Property in Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    12. M. Abbas & A. Hussain & P. Kumam, 2015. "A Coincidence Best Proximity Point Problem in G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    13. Hassen Aydi & Erdal Karapınar & Wasfi Shatanawi, 2012. "Tripled Fixed Point Results in Generalized Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    14. W. Shatanawi, 2011. "Some Fixed Point Theorems in Ordered G‐Metric Spaces and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    15. Bessem Samet & Calogero Vetro & Francesca Vetro, 2013. "Remarks on -Metric Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-6, January.
    16. Shahnaz Jafari & Maryam Shams, 2020. "Fixed point theorems for ϕ-contraction mappings in probabilistic generalized Menger space," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(2), pages 519-532, June.
    17. Feng Gu & Hongqing Ye, 2012. "Common Fixed Point Theorems of Altman Integral Type Mappings in G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

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