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Common Fixed Point Theorems Using the E.A. and CLR Properties in 2-Menger Spaces

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  • Balbir Singh
  • Vishal Gupta
  • Sanjay Kumar

Abstract

First, we prove a common fixed point theorem using weakly compatible maps in 2-Menger space with t -norm of Hadzic type. Second, we prove a common fixed point theorem using the E.A. property along with weakly compatible maps. Further, we obtained a common fixed point theorem using the CLR property along with weakly compatible maps. At the end, we provide an application of our main theorem for four finite families of mappings.

Suggested Citation

  • Balbir Singh & Vishal Gupta & Sanjay Kumar, 2013. "Common Fixed Point Theorems Using the E.A. and CLR Properties in 2-Menger Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-7, May.
    • Handle: RePEc:hin:ijanal:934738
    DOI: 10.1155/2013/934738
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    References listed on IDEAS

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    1. Wutiphol Sintunavarat & Poom Kumam, 2011. "Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-14, August.
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