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Common Fixed-Point Theorems in Complete Generalized Metric Spaces

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  • Chi-Ming Chen

Abstract

We introduce the notions of the 𝒲 function and 𝒮 function, and then we prove two common fixed point theorems in complete generalized metric spaces under contractive conditions with these two functions. Our results generalize or improve many recent common fixed point results in the literature.

Suggested Citation

  • Chi-Ming Chen, 2012. "Common Fixed-Point Theorems in Complete Generalized Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, May.
    • Handle: RePEc:hin:jnljam:945915
    DOI: 10.1155/2012/945915
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    Cited by:

    1. K. Chakrabarti, 2014. "Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered -Metric Space," Journal of Mathematics, Hindawi, vol. 2014, pages 1-7, September.
    2. 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.

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