metric space


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Related to metric space: Complete metric space
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Noun1.metric space - 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
mathematical space, topological space - (mathematics) any set of points that satisfy a set of postulates of some kind; "assume that the topological space is finite dimensional"
Euclidean space - a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
Hilbert space - a metric space that is linear and complete and (usually) infinite-dimensional
References in periodicals archive ?
An R-tree (T, d) is a metric space which is geodesic (i.
Jungck presented the notion of commuting maps to introduce the common fixed point results for two self-maps on complete metric space.
A new space called the complex valued metric space which is more general than the well-known metric space has been introduced by Azam et al.
The first one presented in Section 3 treats a fuzzy equation as an abstract relation in the metric space of fuzzy sets over the space of square integrable random vectors.
In terms of metric space, it is approaching the same size as Switzerland's data center market.
The purpose of this paper is to define Caristi mapping in the setting of multiplicative metric space and prove fixed point theorems on multiplicative metric space endowed with a graph.
Theorem 4 Let (X, [delta]) be a diversity with induced metric space (X, d).
Jachymski , IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem, J.
Let (X, d) be a metric space and let CB(X) be the set of all nonempty closed bounded subsets of X.
Let (X,d) be a complete generalized metric space and let T : X [right arrow] X be a strictly contractive operator with Lipschitz constant L < 1.
A function d : X x X [right arrow] R is an asymmetric metric and (X, d) is an asymmetric metric space if