metric space

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Related to metric space: Complete metric space
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  • noun

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a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality

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Godard [9] has proved that a metric space M is 0-hyperbolic if and only if F(M), the Lipschitzfree space over M (see the definition in the next section), is isometric to a subspace of some [L.
12] studied complex valued metric space and proved common fixed point theorems for two self-mappings satisfying a rational type inequality.
There have been a number of generalizations of metric spaces such as vector valued metric spaces, G-metric spaces, pseudometric spaces, fuzzy metric spaces, D-metric spaces, cone metric spaces, and modular metric spaces.
rho]], we define a borel [sigma]-field in a metric space ([F.
Note that that each Caristi mapping on a complete metric space has a fixed point.
Proposition 12 Let (X, d) be a metric space, [absolute value of X] = n, and let (X, [[delta].
Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal.
Jain, "Coupled coincidence and common fixed point theorems for set-valued and single-valued mappings in fuzzy metric space," Journal of Fuzzy Set Valued Analysis, vol.
We recall that (C(I),d) is a complete metric space (cf.
Henceforth, (X, d) shall be an asymmetric metric space.
Let X be a geodesic metric space- that is, a metric space where any two points x and y are the endpoints of a curve of length d(x, y).
1985): Let (X,d) be a complete metric space and T: X [right arrow] X a contraction mapping with contraction factor c [member of] [0,1).
Likewise because in the Schwarzschild metric space is curved a spatial velocity velocity [[upsilon].
5] generalized the Banach contraction principle by using two closed subsets of a complete metric space.
infinity]]) is a metric space of fuzzy functions from (-[infinity],0] to [E.