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Partial Metric Spaces

William Kirk and Naseer Shahzad
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William Kirk: University of Iowa, Department of Mathematics
Naseer Shahzad: King Abdulaziz University, Department of Mathematics

Chapter Chapter 14 in Fixed Point Theory in Distance Spaces, 2014, pp 141-152 from Springer

Abstract: Abstract The topic of this section has its origins in the study of theoretical computer science. In 1992, S.G. Matthews [149] introduced the notion of a “partial metric space” with the aim of providing a quantitative mathematical model suitable for programming verification. See [149, 200] for further discussion. Among other things, Matthews proved a partial metric version of the celebrated Banach fixed point theorem which has become an appropriate quantitative fixed point technique to capture the meaning of recursive denotational specifications in programming languages.

Keywords: Metal Parts; Programming Verification; Romaguera; Partial Hausdorff; Fixed Point Property (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-10927-5_14

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DOI: 10.1007/978-3-319-10927-5_14

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