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Common Fixed Point Theorems of Altman Integral Type Mappings in G‐Metric Spaces

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  • Feng Gu
  • Hongqing Ye

Abstract

We introduce the concept of φ‐weakly commuting self‐mapping pairs in G‐metric space. Using this concept, we establish a new common fixed point theorem of Altman integral type for six self‐mappings in the framework of complete G‐metric space. 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 & 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).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:630457
    DOI: 10.1155/2012/630457
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    References listed on IDEAS

    as
    1. 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).
    2. Hassen Aydi & Erdal Karapınar & Wasfi Shatanawi, 2012. "Tripled Fixed Point Results in Generalized Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, May.
    3. 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).
    4. 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, Hindawi, vol. 2012, pages 1-15, September.
    5. W. Shatanawi, 2011. "Some Fixed Point Theorems in Ordered G‐Metric Spaces and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    6. 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.
    7. 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).
    8. 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.
    9. W. Shatanawi, 2011. "Some Fixed Point Theorems in Ordered ð º -Metric Spaces and Applications," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-11, June.
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    Cited by:

    1. Marwan Amin Kutbi & Muhammad Arshad & Aftab Hussain, 2014. "ON Modified (α − η)‐Contractive Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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