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Theoretical Computer Science, 2006 A partial quasi-metric space \((X, p)\) consists of a set \(X\) and a distance function \(p: X\times X\to [0,\infty)\) satisfying (i) \(p(x, x)\leq\min\{p(x, y),p(y, x)\}\) whenever \(x,y\in X\), (ii) \(x= y\) iff \(p(x, x)= p(x, y)\) and \(p(y, y)= p(y, x)\) whenever \(x,y\in X\), (iii) \(p(x, z)+ p(y, y)\leq p(x, y)+ p(y, z)\) whenever \(x,y,z\in X\).
Hans-Peter A. Künzi +2 more
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Some Fixed-Point Theorems on Quasi M-Metric Spaces [PDF]
ITM Web of ConferencesIn this paper, it will be discussed a metric that is constructed based on a quasi M-metric and a new definition of Cauchy sequences in quasi M-metric spaces.
Darojad Rofiud, Indrati Christiana Rini
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Some Extensions of Fixed Point Results over Quasi-JS-Spaces
Journal of Function Spaces, 2016 We introduce the notion of quasi-JS-metric space. After defining the basic topological properties of quasi-JS-metric space, we investigate fixed point of certain mapping in the frame of complete quasi-JS-metric space.
Maha Noorwali +2 more
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Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words
Advances in Mathematical Physics, 2023 In this manuscript, we introduce the notions of fuzzy strong controlled metric spaces, fuzzy strong controlled quasi-metric spaces, and non-Archimedean fuzzy strong controlled quasi-metric spaces and generalize the famous Banach contraction principle. We
Aftab Hussain +2 more
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Teorema Titik Tetap Pada Ruang Quasi Metrik Terasing Tanpa Menggunakan Sifat Kekontinuan Fungsi
Jurnal Fourier, 2014 Dislocated quasi metric spaces is spaces with distance function that only satisfies two conditions from four conditions of distance function in metric spaces.
Malahayati Malahayati, Mutia Utami
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Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions ...
Mensur Yalcin, Hakan Simsek, Ishak Altun
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Some aspects of Isbell-convex quasi-metric spaces
Applied General Topology, 2018 We introduce and investigate the concept of geodesic bicombing in T0-quasi-metric spaces. We prove that any Isbell-convex T0-quasi-metric space admits a geodesic bicombing which satisfies the equivariance property.
Olivier Olela Otafudu
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Prolonged almost quazi-Sasakian structures
Дифференциальная геометрия многообразий фигур, 2021 The notion of an almost quasi-Sasakian manifold is introduced. A manifold with an almost quasi-Sasakian structure is a generalization of a quasi-Sasakian manifold; the difference is that an almost quasi-Sasakian manifold is almost normal.
S.V. Galaev
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Bourbaki completeness in quasi metric spaces [PDF]
Journal of Nonlinear Functional Analysis, 2019 The main purpose of this paper is to define a new type of boundedness in a quasi metric space. We introduce some new notions of completeness by clustering sequences belonging to the classes larger than the classes of Cauchy sequences in some sense. We also obtain some interesting results related to the compactness.
İlkhan, Merve, Kara, Emrah Evren
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Duality and quasi-normability for complexity spaces
Applied General Topology, 2002 The complexity (quasi-metric) space was introduced in [23] to study complexity analysis of programs. Recently, it was introduced in [22] the dual complexity (quasi-metric) space, as a subspace of the function space [0,) ω. Several quasi-metric properties
Salvador Romaguera, M.P. Schellekens
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