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On the Meir–Keeler theorem in quasi-metric spaces
Journal of Fixed Point Theory and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rachid, Mecheraoui +3 more
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Geometry of Quasi-Metric Spaces
2015The main goal of this chapter is to set the stage for the rest of this monograph by presenting a brief survey of some of the many facets of the theory of quasi-metric spaces. Quasi-metric spaces constitute generalizations of not only the classical Euclidean setting, but of quasi-Banach spaces and ultrametric spaces.
Ryan Alvarado, Marius Mitrea
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The space of formal balls and models of quasi-metric spaces
Mathematical Structures in Computer Science, 2009In this paper we study quasi-metric spaces using domain theory. Our main objective in this paper is to study the maximal point space problem for quasi-metric spaces. Here we prove that quasi-metric spaces that satisfy certain completeness properties, such as Yoneda and Smyth completeness, can be modelled by continuous dcpo's.
M. Ali-Akbari +3 more
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A non quasi-metric completion for quasi-metric spaces
1999Within the realm of approach spaces the authors develop, via the use of suitable nearness concepts, a completion theory and apply this to complete quasimetric spaces. In particular, for approach spaces \(X\) they introduce the concepts of near collections, clusters (= maximal near collections) and completeness (i.e., every cluster converges) and ...
Lowen, R., Vaughan, D.
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A characterization of bicompletable fuzzy quasi-metric spaces
Fuzzy Sets and Systems, 2005An internal characterization of fuzzy quasi-metric spaces which admit a fuzzy quasi-metric bicompletion is given, and the uniqueness of such a bicompletion is also proved.
Valentín Gregori +2 more
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Quasi-metric spaces and point-free geometry
Mathematical Structures in Computer Science, 2006An approach to point-free geometry based on the notion of a quasi-metric is proposed in which the primitives are the regions and a non-symmetric distance between regions. The intended models are the bounded regular closed subsets of a metric space together with the Hausdorff excess measure.
DI CONCILIO, Anna, GERLA G. G.
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On function spaces related to quasi-metric spaces I
Topology and its ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhenhua Jia, Qingguo Li
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, 2023 Inspired by the work of Adhya and Ray, I provide my own proof of selected theorems and lemmas discussed in [1]. Original theorems should appear, in due course, in a future article.
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Metrizability of Quasi-Metric Spaces
Journal of the London Mathematical Society, 1977Raghavan, T. G., Reilly, I. L.
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