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DIFFERENT TYPES OF QUASI-METRIC AND PARTIAL METRIC SPACES
Bukovinian Mathematical Journal, 2023The notion of a partial metric space was introduced by S. Matthews \cite{Matthews1992} in 1992. This notion arose as a certain extension of the notion of metric spaces and was used in computer science, where there are non-Hausdorff topological models. A function $p:X^2\to [0,+\infty)$ is called {\it a partial metric} on $X$ if for all $x,y,z\in X$ the ...
V. Myronyk, V. Mykhaylyuk
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Fractals in Partial Metric Spaces
2014Partial metric space is a generalisation of metric space due to non zero self-distance. In this paper, we discuss the nature of fractals in a partial metric space.
S. Minirani, Sunil Mathew
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On weak partial-quasi k-metric spaces
Journal of Intelligent & Fuzzy Systems, 2021In this paper, we introduce the concept of weak partial-quasi k-metrics, which generalizes both k-metric and weak metric. Also, we present some examples to support our results. Furthermore, we obtain some fixed point theorems in weak partial-quasi k-metric spaces.
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Partial averaging of quasidifferential equations in metric spaces
Ukrainian Mathematical Journal, 1995The authors consider the quasidifferential equation \[ \delta (x(t+\Delta),\varphi (\varepsilon ,\Delta ,t,x(t)))=o(\Delta) \] in a locally compact space \(X\) with the metric \(\delta (\cdot ,\cdot)\). Here, \(\varepsilon \) is a small parameter, and for each fixed \(\varepsilon \) the mapping \(\varphi :[0,\sigma)\times [t_0, t_0+T]\times X\mapsto X\)
Plotnikov, V. A., Plotnikova, L. I.
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An Intelligent Theory of Cost for Partial Metric Spaces
2012Partial metric spaces generalise metric spaces, allowing non zero self distance. This is needed to model computable partial information, but falls short in an important respect. The present cost of computing information, such as processor time or memory used, is rarely expressible in domain theory, but contemporary theories of algorithms incorporate ...
Steve Matthews, Michael A. Bukatin
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2016
We define fuzzy partial metric space by following the development of fuzzy metric space. The concept of partial metric is investigated to generalize metric space. In particular, the self-distance for any point need not be equal to zero. The main part of this research concentrates on how the idea of fuzzy partial metric space can be defined by following
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We define fuzzy partial metric space by following the development of fuzzy metric space. The concept of partial metric is investigated to generalize metric space. In particular, the self-distance for any point need not be equal to zero. The main part of this research concentrates on how the idea of fuzzy partial metric space can be defined by following
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An Application of Urysohn Integral Equation via Complex Partial Metric Space
Mathematics, 2022Rajagopalan Ramaswamy +2 more
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