Results 71 to 80 of about 117,160 (165)
Carpathian Mathematical PublicationsWe investigate the following question: does there exist a compatible extension of a given compatible partial metric $p:A^2\to\mathbb R$ on a closed subset $A$ of a partially metrizable space $X$? We obtain a positive answer to this question in the case when the corresponding quasi-metric $q_p(x,y)=p(x,y)-p(x,x)$ has an extension that generates a weaker
V. Mykhaylyuk, V. Myronyk
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A note on partial rectangular metric spaces [PDF]
Mathematica Moravica, 2014 In this paper, we present a rectangular metric from a partial rectangular metric and state some relations between them. As applications, we show that fixed point theorems on partial rectangular metric spaces may be deduced from fixed point theorems on ...
Van Dung Nguyen, Le Hang Vo Thi
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On R-Partial b-Metric Spaces and Related Fixed Point Results with Applications
Journal of Function Spaces, 2020 In this paper, we introduce the notion of R-partial b-metric spaces and prove some related fixed point results in the context of this notion. We also discuss an example to validate our result.
Muhammad Usman Ali +5 more
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On D_b-metric and general partial b-metric spaces
Journal of Al-Qadisiyah for Computer Science and Mathematics, 2020 In this paper, we introduce a new type of generalize metric space, which we call -metric space as a generalization of both -metric and b-metric spaces. Then we prove some fixed point theorem in this space. Also we define a general partial b-metric space as a generalize of a partial b-metric space and study their properties.
Norhan I. Abdullah, Laith K. Shaakir
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Partially ordered metric spaces produced by T0-quasi-metrics
Topology and its Applications, 2016 A \textit{partially ordered metric space} is a triple \((X,m,\leqslant)\) where, as expected, \((X,m)\) is a metric space and \((X,\leqslant)\) is a partially ordered set. Given a set \(X\), a function \(d: X \times X \rightarrow [0,\infty)\) is said to be a \textit{quasi-pseudometric} if (a) \(d(x,x) = 0\) for all \(x \in X\); and (b) \(d(x,z ...
Gaba, Yaé Ulrich, Künzi, Hans-Peter A.
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The correspondence between partial metrics and semivaluations
Theoretical Computer Science, 2004 The author contributes to the study of the connections between (special) distance functions, namely so-called partial metrics (equivalently, weighted quasi-metrics), and valuations on ordered structures. His investigations are mainly motivated by various important examples from Theoretical Computer Science.
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Fixed point theorems for expanding mappings in partial metric spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper, we define expanding mappings in the setting of partial metric spaces analogous to expanding mappings in metric spaces.
Huang Xianjiu, Zhu Chuanxi, Wen Xi
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The canonical partial metric and the uniform convexity on normed spaces
Applied General Topology, 2005 In this paper we introduce the notion of canonical partial metric associated to a norm to study geometric properties of normed spaces. In particular, we characterize strict convexity and uniform convexity of normed spaces in terms of the canonical ...
S. Oltra +2 more
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Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces
Fixed Point Theory and Applications, 2011 In this article, lower semi-continuous maps are used to generalize Cristi-Kirk's fixed point theorem on partial metric spaces. First, we prove such a type of fixed point theorem in compact partial metric spaces, and then generalize to complete partial ...
Karapinar Erdal
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An Improvement of Recent Fixed Point Results in Double-Composed Partial Metric Spaces
International Journal of Mathematics and Mathematical SciencesMore recently, a new concept of double-composed partial metric space has been introduced, and the related Banach type and Kannan type fixed point results have been established.
Chol Jin Kil
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