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Optimization, 2022
In this paper, we first review some important definitions and notions related to best proximity point theory by considering the lack of symmetry property of quasi metric. Then, we introduce a new notion of BG-multivalued contraction mappings.
M. Aslantaş
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In this paper, we first review some important definitions and notions related to best proximity point theory by considering the lack of symmetry property of quasi metric. Then, we introduce a new notion of BG-multivalued contraction mappings.
M. Aslantaş
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On the bicompletion of a partial quasi-metric space and $$T_{0}$$-quasi-metric spaces
Afrika Matematika, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seithuti Moshokoa, Fanyana Ncongwane
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Topology and its Applications, 2020
A \textit{quasi-pseudometric} space \((X,d)\) is a metric space in which the axiom of symmetry \(d(x,y)=d(y,x)\) is omitted and the equality \(d(x,y)=0\) is possible in the case \(x\neq y\). A quasi-pseudometric is called a \textit{\(T_0\)-quasi-metric} provided that \(d\) also satisfies the following condition: For each \(x, y \in X\), \(d(x, y) = 0 =
Hans-Peter A. Künzi +2 more
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A \textit{quasi-pseudometric} space \((X,d)\) is a metric space in which the axiom of symmetry \(d(x,y)=d(y,x)\) is omitted and the equality \(d(x,y)=0\) is possible in the case \(x\neq y\). A quasi-pseudometric is called a \textit{\(T_0\)-quasi-metric} provided that \(d\) also satisfies the following condition: For each \(x, y \in X\), \(d(x, y) = 0 =
Hans-Peter A. Künzi +2 more
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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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Generalized quasi-metric on strings
Information Sciences, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fágner L. Santana +4 more
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Quasi-Metric Learning for Bilateral Person-Job Fit
IEEE Transactions on Pattern Analysis and Machine IntelligenceMatching suitable jobs with qualified candidates is crucial for online recruitment. Typically, users (i.e., candidates and employers) have specific expectations in the recruitment market, making them prefer similar jobs or candidates.
Yingpeng Du +5 more
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Quasi Contractions and Fixed Point Theorems in the Context of Neutrosophic Fuzzy Metric Spaces
European Journal of Pure and Applied MathematicsFixed point theory has garnered significant interest due to its applicability across various scientific disciplines. In this manuscript, we present fixed point theorems pertaining to neutrosophic fuzzy quasi-contractions, situated within the ...
A. Bataihah, A. Hazaymeh
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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. Künzi +1 more
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Extensions of T 0-quasi-metrics
Acta Mathematica Hungarica, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Künzi, H.-P. A., Yildiz, F.
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Applications of utility functions defined on quasi-metric spaces
Journal of Mathematical Analysis and Applications, 2003 A quasi-metric space (X,d) is called sup-separable if (X,ds) is a separable metric space, where ds(x,y)=max{d(x,y),d(y,x)} for all x,y∈X. We characterize those preferences, defined on a sup-separable quasi-metric space, for which there is a semi ...
Salvador Romaguera, Manuel Sanchís
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