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Space of Spaces as a Metric Space [PDF]
Communications in Mathematical Physics, 2000 In spacetime physics, we frequently need to consider a set of all spaces (`universes') as a whole. In particular, the concept of `closeness' between spaces is essential. However, there has been no established mathematical theory so far which deals with a space of spaces in a suitable manner for spacetime physics.
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Journal of New Theory, 2022 This paper draws on the theory of soft $A$-metric space using soft points of soft sets and the concept of $A$-metric spaces. This new space has great importance as a new type of generalisation of metric spaces since it includes various known metric spaces.
Hande POŞUL +2 more
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Notices of the American Mathematical Society, 2020 This note is a survey of Analysis on Metric spaces, in connection with the upcoming AMS Mathematics Research Communities program in June 2020.
Bonk, Mario +4 more
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Banach Fixed Point Theorem in Extended bv(s)-Metric Spaces
Computer Sciences & Mathematics Forum, 2023 We define the class of extended bv(s)-metric spaces by replacing the real number s≥1 with a strictly increasing continuous function ϕ in the definition of a bv(s)-metric space.
Anil Kumar
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Configuration Space Metrics [PDF]
2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 2018 When robot manipulators decide how to reach for an object, hand it over, or obey some task constraint, they implicitly assume a Euclidean distance metric in their configuration space. Their notion of what makes a configuration closer or further is dictated by this assumption. But different distance metrics will lead to different solutions.
Hong Jun Jeon, Anca D. Dragan
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Metric distributional discrepancy in metric space
Statistics and Its Interface, 2023 14 pages, 2 ...
Pan, Wenliang +4 more
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Universal Journal of Mathematics and Applications, 2023 Multisets have many applications in a variety of fields today, including computer science, medicine, banking, engineering, information storage, and information analysis.
Ecemnur Mutlu, Ayşegül Çaksu Güler
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MORE ON THE METRIC SPACE OF METRICS [PDF]
Real Analysis Exchange, 1995 In this note we look at a subset of the metric space of metrics for an arbitrary set \(X\) and show that in terms of cardinality this can be very large while being extremely small in the porosity sense.
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Fuzzy Triple Controlled Metric Spaces and Related Fixed Point Results
Journal of Function Spaces, 2021 In this study, we introduce fuzzy triple controlled metric space that generalizes certain fuzzy metric spaces, like fuzzy rectangular metric space, fuzzy rectangular b-metric space, fuzzy b-metric space, and extended fuzzy b-metric space.
Salman Furqan +2 more
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Mathematics, 2019 Recently, George et al. (in Georgea, R.; Radenovicb, S.; Reshmac, K.P.; Shuklad, S. Rectangular b-metric space and contraction principles. J. Nonlinear Sci. Appl.
Tahair Rasham +2 more
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