Browsing by Author "Grayson, Kakiko"

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    Common Fixed Points for Weakly Compatible Mappings in Partial Metric Spaces
    (Busan International Nonlinear Analysis Academy, 2018-03-01) Johnson, Kessy; Santosh, Kumar; Grayson, Kakiko
    In many situations the arising mappings need not be self-mappings. It is well known that metrically convex metric spaces are desirable for the study of fixed points of non-self mappings. Partial metric spaces are generalization of the notion of a metric space that allows non-zero self distance. In this paper, we present a common fixed point theorem for weakly compatible mappings on complete metrically convex partial metric spaces. Our main result generalizes a common metric fixed point theorem due to ´Ciri´c and Ume, which is an extension of a metric fixed point theorem due to Rhoades, to partial metric spaces.