Results 21 to 30 of about 830,992 (228)
Global Hyperbolicity of Sliced Spaces [PDF]
, 2003 We show that for generic sliced spacetimes global hyperbolicity is equivalent to space completeness under the assumption that the lapse, shift and spatial metric are uniformly bounded.
Cotsakis, Spiros
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Informal Complete Metric Space and Fixed Point Theorems
Axioms, 2019 The concept of informal vector space is introduced in this paper. In informal vector space, the additive inverse element does not necessarily exist. The reason is that an element in informal vector space which subtracts itself cannot be a zero element ...
Hsien-Chung Wu
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Common Fixed Point in Cone Metric Space for $mathbf{s}-mathbf{varphi}$-contractive [PDF]
Sahand Communications in Mathematical Analysis, 2019 Huang and Zhang cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings
Hamid Shojaei +2 more
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Existence of Best Proximity Point in O-CompleteMetric Spaces
Mathematics, 2023 In this work, we prove the existence of the best proximity point results for ⊥-contraction (orthogonal-contraction) mappings on an O-complete metric space (orthogonal-complete metric space). Subsequently, these existence results are employed to establish
G. Poonguzali +2 more
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Conserved energies for the one dimensional Gross-Pitaevskii equation [PDF]
, 2019 We prove the global-in-time well-posedness of the one dimensional Gross-Pitaevskii equation in the energy space, which is a complete metric space equipped with a newly introduced metric and with the energy norm describing the $H^s$ regularities of the ...
Koch, Herbert, Liao, Xian
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Shapes of polyhedra and triangulations of the sphere [PDF]
, 1998 The space of shapes of a polyhedron with given total angles less than 2\pi at each of its n vertices has a Kaehler metric, locally isometric to complex hyperbolic space CH^{n-3}. The metric is not complete: collisions between vertices take place a finite
Deligne +5 more
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Completion of a Dislocated Metric Space [PDF]
Abstract and Applied Analysis, 2015 We provide a construction for the completion of a dislocated metric space (abbreviatedd-metric space); we also prove that the completion of the metric associated with ad-metric coincides with the metric associated with the completion of thed-metric.
Kumari, P. Sumati +3 more
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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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Fixed Point Results for (ψ, ϕ)-Contractive Mapping in GF-Metric Space
Ratio MathematicaThe main goal of this work is to present GF -metric space, a new generalization of G-metric space. A comparison between the classes of G-metric spaces, GP-metric spaces, Gb-metric spaces, generalized Gb-metric spaces, and G∗ -metric spaces and the class ...
Kapil Jain +2 more
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A study on Quantization Dimension in complete metric spaces [PDF]
, 2020 The primary objective of the present paper is to develop the theory of quantization dimension of an invariant measure associated with an iterated function system consisting of finite number of contractive infinitesimal similitudes in a complete metric ...
Roychowdhury, Mrinal K., Verma, S.
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