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Some Common Fixed Point Theorems in Partial Metric Spaces

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  • Erdal Karapınar
  • Uğur Yüksel

Abstract

Many problems in pure and applied mathematics reduce to a problem of common fixed point of some self-mapping operators which are defined on metric spaces. One of the generalizations of metric spaces is the partial metric space in which self-distance of points need not to be zero but the property of symmetric and modified version of triangle inequality is satisfied. In this paper, some well-known results on common fixed point are investigated and generalized to the class of partial metric spaces.

Suggested Citation

  • Erdal Karapınar & Uğur Yüksel, 2011. "Some Common Fixed Point Theorems in Partial Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-16, November.
    • Handle: RePEc:hin:jnljam:263621
    DOI: 10.1155/2011/263621
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    Cited by:

    1. Daniela Paesano & Pasquale Vetro, 2013. "Common Fixed Points in a Partially Ordered Partial Metric Space," International Journal of Analysis, Hindawi, vol. 2013, pages 1-8, January.

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