Results 261 to 270 of about 77,924 (297)
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The Ultra-Quasi-Metrically Injective Hull of a T 0-Ultra-Quasi-Metric Space
Applied Categorical Structures, 2012This is a technical paper dealing with special classes of spaces and their completions. Let \(X\) be a set and \(u\) be a map of \(X\times X\) into the non-negative reals. Then \(u\) is an ultra-quasi-pseudometric if (i) \(u(x,x) = 0\) for all \(x\in X\) and (ii) \(u(x,z)\leq max\{u(x,y),u(y,z)\}\), whenever \(x,y,z\in X\). If, moreover, \(u(x,y) = 0 =
Hans-Peter A Kunzi +2 more
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Remarks on “Quasi-contraction on a cone metric space”
Applied Mathematics Letters, 2009 Recently, D. Ilić and V. Rakočević [D. Ilić, V. Rakočević, Quasi-contraction on a cone metric space, Appl. Math. Lett. (2008) doi:10.1016/j.aml.2008.08.011] proved a fixed point theorem for quasi-contractive mappings in cone metric spaces when the ...
Zoran Kadelburg +2 more
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A quasi-metric space without complete quasi-uniformity
Topology and Its Applications, 1996 We construct a quasi-metric space that does not admit any complete quasi ...
Hans-Peter A Kunzi, Stephen Watson
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The complexity probabilistic quasi-metric space
Journal of Mathematical Analysis and Applications, 2011 We introduce and study a probabilistic quasi-metric on the set of complexity functions, which provides an efficient framework to measure the distance from a complexity function "f" to another one "g" in the case that "f" is asymptotically more eficient ...
Salvador Romaguera, Pedro Tirado
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Quasi-contraction on a cone metric space
Applied Mathematics Letters, 2009 In this work we define and study quasi-contraction on a cone metric space. For such a mapping we prove a fixed point theorem. Among other things, we generalize a recent result of H. L. Guang and Z.
Dejan Ilić, Vladimir Rakocevic
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On entropy on quasi-metric spaces
Topology and its Applications, 2023The classical notion of topological entropy \(h_U\) by \textit{R. Bowen} [Trans. Am. Math. Soc. 153, 401--414 (1971; Zbl 0212.29201)] for uniformly continuous self-maps of metric spaces is extended to uniformly continuous self-maps of quasi-metric spaces.
Paulus Haihambo, Olivier Olela-Otafudu
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The monad on strong quasi-metric spaces
Theoretical Computer Science, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A representation theorem for quasi-metric spaces
Topology and Its Applications, 1995 We show that every quasi-metric space is isomorphic to a subspace of the hyperspace of a suitable metric space, endowed with the Hausdorff quasi-metric.
Vitolo, P., VITOLO, Paolo
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On the Upper Completeness of Quasi-metric Spaces
2010 Third International Symposium on Intelligent Information Technology and Security Informatics, 2010This paper is concerned with the problem of upper completeness in the quasi-metric spaces. In this paper, firstly, some new basic concepts of quasi-metric spaces such as the upper limit and lower limit are put forward. Correspondingly, the concepts of upper closed set, upper Cauchy sequence and upper completeness are obtained. Secondly, three important
Xiaodan Chen, Shaobai Chen
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Local Yoneda completions of quasi-metric spaces
Mathematical Structures in Computer Science, 2023AbstractIn this paper, we study quasi-metric spaces using domain theory. Given a quasi-metric space (X,d), we use $({\bf B}(X,d),\leq^{d^{+}}\!)$ to denote the poset of formal balls of the associated quasi-metric space (X,d). We introduce the notion of local Yoneda-complete quasi-metric spaces in terms of domain-theoretic properties of $({\bf B}(X,d)
Jing Lu, Bin Zhao
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