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Some Common Fixed Point Theorems in Generalized Metric Spaces

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Listed:
  • Manoj Kumar
  • Pankaj Kumar
  • Sanjay Kumar

Abstract

First we prove common fixed point theorems for weakly compatible maps which generalize the results of Chen (2012). Secondly, we prove common fixed point theorems using property E.A. along with weakly compatible maps. At the end, we prove common fixed point theorems using common limit range property (CLR property) along with weakly compatible maps.

Suggested Citation

  • Manoj Kumar & Pankaj Kumar & Sanjay Kumar, 2013. "Some Common Fixed Point Theorems in Generalized Metric Spaces," Journal of Mathematics, Hindawi, vol. 2013, pages 1-7, April.
    • Handle: RePEc:hin:jjmath:719324
    DOI: 10.1155/2013/719324
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    References listed on IDEAS

    as
    1. Chi-Ming Chen, 2012. "Common Fixed-Point Theorems in Complete Generalized Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, May.
    2. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
    3. 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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