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A Few Notes on Formal Balls [PDF]
Logical Methods in Computer Science, 2017 Using the notion of formal ball, we present a few new results in the theory of quasi-metric spaces. With no specific order: every continuous Yoneda-complete quasi-metric space is sober and convergence Choquet-complete hence Baire in its $d$-Scott ...
Jean Goubault-Larrecq, Kok Min Ng
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Topological Algebra and its Applications, 2021 This paper presents some fixed point theorems for T-Hardy-Rodgers contraction mappings in complete cone b-metric spaces without the assumption of normality conditions.
Shashi Pauline, Kumar Santosh
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Fractal and Fractional, 2021 Within this manuscript we generalize the two recently obtained results of O. Popescu and G. Stan, regarding the F-contractions in complete, ordinary metric space to 0-complete partial metric space and 0-complete metric-like space.
Stojan Radenović +2 more
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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 Properties of Lebesgue Fuzzy Metric Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, we establish a sequential characterisation of Lebesgue fuzzy metric and explore the relationship between Lebesgue, weak $G$-complete and compact fuzzy metric spaces.
Sugata Adhya, Atasi Deb Ray
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w-Distances on Fuzzy Metric Spaces and Fixed Points
Mathematics, 2020 We propose a notion of w-distance for fuzzy metric spaces, in the sense of Kramosil and Michalek, which allows us to obtain a characterization of complete fuzzy metric spaces via a suitable fixed point theorem that is proved here.
Salvador Romaguera
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Some problems on selections for hyperspace topologies
Applied General Topology, 2004 The theory of hyperspaces has attracted the attention of many mathematicians who have found a large variety of its applications during the last decades.
Valentin Gutev, Tsugunori Nogura
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A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]
, 2012 We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain +2 more
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