Results 221 to 230 of about 102,220 (261)

On the Completions of the Spaces of Metrics on an Open Manifold

Results in Mathematics, 1996
For a smooth manifold \(X\) the function \(d_0\) defined by: \[ d_0(g,g')=\sup_{x\in X}\sup_{Y\in T_x X-\{0\}} {|g_x(Y,Y)-g_x'(Y,Y)|\over g_x(Y,Y)+g_x'(Y,Y)} \] is a complete metric on the space of complete \(C^0\) metrics on \(X\). This metric is then used to show that a space of strictly positive definite smooth metrics with a natural uniform ...
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Complete metric spaces

2009
Abstract We saw in Chapter 4 how useful the completeness property of R is. From a theoretical viewpoint, completeness lets us solve equations such as x = 2 in R which have no solution in Q. Here is a practical version of the same phenomenon; we shall refer back to it a couple of times in this chapter.
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ON THE COMPLETENESS OF HYPERSPACES OF COMPLETE METRIC SPACES

UZBEK MATHEMATICAL JOURNAL
In this paper a new metric in the space of all nonempty compact subsets of a given metric space is introduced. For a complete metric space the completeness of the space of all its nonempty compact subsets is shown. The authors proposed an absolutely new method to prove this result.
null Zaitov, null Beshimova, null Ishmetov   +2 more
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A comment on the completion of fuzzy metric spaces

Fuzzy Sets and Systems, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Common fixed points of Kannan, Chatterjea and Reich type pairs of self-maps in a complete metric space

Sao Paulo Journal of Mathematical Sciences, 2020
Zoran D Mitrović, Sun Y Cho, Pradip Debnath   +2 more
exaly  

Complete Metric Spaces

2020
Dhananjay Gopal, Aniruddha Deshmukh, Abhay S. Ranadive, Shubham Yadav   +3 more
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An Application of wt-Distances to Characterize Complete b-Metric Spaces

Axioms, 2023
Salvador Romaguera, Romaguera Salvador
exaly  

Characterizing Complete Fuzzy Metric Spaces Via Fixed Point Results

Mathematics, 2020
Salvador Romaguera, Romaguera Salvador
exaly  

On Fixed Point Theorem of Weak Compatible Maps of Type(γ) in Complete Intuitionistic Fuzzy Metric Space

International Journal of Fuzzy Logic and Intelligent Systems, 2011
Jong-Seo Park, Park Jong-Seo
exaly  

A quasi-metric space without complete quasi-uniformity

Topology and Its Applications, 1996
Hans-Peter A Kunzi, Stephen Watson
exaly