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Hodge Theory on Metric Spaces [PDF]
Foundations of Computational Mathematics, 2011 appendix by Anthony W. Baker, 48 pages, AMS-LaTeX. v2: final version, to appear in Foundations of Computational Mathematics.
Thomas Schick +2 more
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A Theory for Interpolation of Metric Spaces
AxiomsIn this work, we develop an interpolation theory for metric spaces inspired by the real method of interpolation. These interpolation spaces preserve Lipschitz operators under certain conditions.
Robledo Mak’s Miranda Sette +2 more
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Deformation techniques in metric critical point theory
Advances in Nonlinear Analysis, 2013 We propose a synthetic and self-contained treatment of the main deformation results of critical point theory, for continuous functionals defined on metric spaces.
Corvellec Jean-Noël
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Neutrosophic Triplet Partial g - Metric Spaces [PDF]
Neutrosophic Sets and Systems, 2020 In this chapter, neutrosophic triplet partial g - metric spaces are obtained. Then, some definitions and examples are given for neutrosophic triplet partial g - metric space. Based on these definitions, new theorems are given and proved. In addition, it
Memet Şahin +2 more
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Emergent metric space-time from matrix theory
Journal of High Energy Physics, 2022 The IKKT matrix model yields an emergent space-time. We further develop these ideas and give a proposal for an emergent metric. Based on previous numerical studies of this model, we provide evidence that the emergent space-time is continuous and infinite
Suddhasattwa Brahma +2 more
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Fixed Point Theory in b-convex Metric Spaces
Journal of Harbin University of Science and Technology, 2021 b-metric spaces are a kind of generalized metric spaces，which have attracted extensive attention of scholars at home and abroad in recent years. In this paper，the convex structure is firstly introduced in b-metric spaces，and consequently the notion of ...
LI Chao-bo, CHEN Li-li
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Interpolative Meir–Keeler Mappings in Modular Metric Spaces
Mathematics, 2022 Modular metric space is one of the most interesting spaces in the framework of the metric fixed point theory. The main goal of the paper is to provide some certain fixed point results in the context of modular metric spaces and non-Archimedean modular ...
Erdal Karapınar +2 more
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Some Suzuki-type best proximity point results on metric spaces endowed a graph [PDF]
Journal of Hyperstructures, 2023 In this paper, the researcher proved the best proximity point theorem for Suzuki type mappings in the setting of metric spaces endowed a graph. In particular, some earlier results in the literature on both best proximity theory and metric fixed point ...
Soomieh Khaleghizadeh
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Expansion Theory of Deng’s Metric in [0,1]-Topology
Mathematics, 2023 The aim of this paper is to focus on a fuzzy metric called Deng’s metric in [0,1]-topology. Firstly, we will extend the domain of this metric function from M0×M0 to M×M, where M0 and M are defined as the sets of all special fuzzy points and all standard ...
Bin Meng, Peng Chen, Xiaohui Ba
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Information metric on the boundary
Journal of High Energy Physics, 2023 The information metric on the space of boundary coupling constants in two-dimensional conformal field theories is studied. Such a metric is related to the Casimir energy difference of the theory defined on an interval.
Kenta Suzuki +3 more
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