Results 21 to 30 of about 828,524 (283)
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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Orthogonal F-contractions on O-complete b-metric space
AIMS Mathematics, 2021 In this paper, we introduce the concepts of an orthogonal F-contractive type mapping, an orthogonal Kannan F-contractive type mapping and an orthogonal F-expanding type mapping. We prove some fixed point theorems for these mappings in orthogonal complete
Gunaseelan Mani +3 more
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Smith theory, L2 cohomology, isometries of locally symmetric manifolds and moduli spaces of curves [PDF]
, 2011 We investigate periodic diffeomorphisms of non-compact aspherical manifolds (and orbifolds) and describe a class of spaces that have no homotopically trivial periodic diffeomorphisms.
Avramidi, Grigori
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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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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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Finite Ball Intersection Property of the Urysohn Universal Space [PDF]
, 2014 In a paper published posthumously, P.S. Urysohn constructed a complete, separable metric space that contains an isometric copy of every complete separable metric space, nowadays referred to as the Urysohn universal space.
Aksoy, Asuman Guven, Ibragimov, Zair
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