Common Fixed Points for Weakly Compatible Mappings in Partial Metric Spaces

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Date
2018-03-01
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Busan International Nonlinear Analysis Academy
Abstract
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.
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Keywords
common fixed point theorem, partial metric space, metrically convex metric space
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