Be careful on partial metric fixed point results (Q1939201)

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scientific article; zbMATH DE number 6139360
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Be careful on partial metric fixed point results
scientific article; zbMATH DE number 6139360

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    Be careful on partial metric fixed point results (English)
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    27 February 2013
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    Let \((X,p)\) be a partial metric space. Then the functional \(d: X \times X \to \mathbb R_+\) defined by \(d(x,y) = 0\) whenever \(x = y\) and \(d(x,y) = p(x,y) \) whenever \(x \neq y\), is a metric on \(X\). In this paper the authors show that some fixed point generalization to \((X,p)\) can be obtained from the corresponding results in \((X,d)\).
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    partial metric space
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    0-complete
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    generalized contraction
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    fixed point
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