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Common Fixed Point for Three Pairs of Self‐Maps Satisfying Common (E.A) Property in Generalized Metric Spaces

Author

Listed:
  • Feng Gu
  • Yun Yin

Abstract

Using the concept of common (E.A) property, we prove a common fixed point theorem for three pairs of weakly compatible self‐maps satisfying a new contractive condition in the framework of a generalized metric space. Our results do not rely on any commuting or continuity condition of mappings. An example is provided to support our result. The results obtained in this paper differ from the recent relative results in the literature.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:808092
    DOI: 10.1155/2013/808092
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    References listed on IDEAS

    as
    1. 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, Hindawi, vol. 2012, pages 1-19, August.
    2. 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).
    3. 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).
    4. 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.
    5. Zead Mustafa, 2012. "Some New Common Fixed Point Theorems under Strict Contractive Conditions in G -Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-21, September.
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