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Some New Common Fixed Point Theorems under Strict Contractive Conditions in G‐Metric Spaces

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  • Zead Mustafa

Abstract

We introduce some new types of pairs of mappings (f, g) on G‐metric space called G‐weakly commuting of type (Af) and G‐R‐weakly commuting of type (Af). We obtain also several common fixed point results for these mappings under certain contractive condition in G‐metric space. Also some examples illustrated to support our results, and comparison between different types of pairs of mappings are studied.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:248937
    DOI: 10.1155/2012/248937
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    References listed on IDEAS

    as
    1. 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.
    2. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
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    Cited by:

    1. 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).
    2. Feng Gu, 2012. "Common Fixed Point Theorems for Six Mappings in Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. 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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