Results 171 to 180 of about 100,444 (216)
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Completion of Multiplicative Metric Spaces
2016In this study, a completion theorem for multiplicative metric spaces is proved. The completion spaces are defined by means of an equivalence relation obtained by multiplicative convergence via the multiplicative absolute value of an ordered field generated by the exponential function on R.
ÇEVİK, Cüneyt, ÖZEKEN, Çetin Cemal
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On a class of completable fuzzy metric spaces
Fuzzy Sets and Systems, 2010The authors investigate fuzzy metric spaces [\textit{A. George} and \textit{P. Veeramani}, ibid. 64, No.~3, 395--399 (1994; Zbl 0843.54014)]. Inter alia they characterize a strong fuzzy metric by a family of stationary fuzzy metrics and show that stationary fuzzy metrics with integral \(t\)-norm and stationary fuzzy ultrametrics (but not fuzzy ...
Valentín Gregori +2 more
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1997
Abstract It is easy to show that a convergent sequence is a Cauchy sequence. Also, a Cauchy sequence converges if, and only if, it contains a convergent subsequence.
Reinhold Meise, Dietmar Vogt
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Abstract It is easy to show that a convergent sequence is a Cauchy sequence. Also, a Cauchy sequence converges if, and only if, it contains a convergent subsequence.
Reinhold Meise, Dietmar Vogt
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Categoricity in homogeneous complete metric spaces
Archive for Mathematical Logic, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Åsa Hirvonen, Tapani Hyttinen
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On the Completions of the Spaces of Metrics on an Open Manifold
Results in Mathematics, 1996For 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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ON THE COMPLETENESS OF HYPERSPACES OF COMPLETE METRIC SPACES
UZBEK MATHEMATICAL JOURNALIn 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 +2 more
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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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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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A comment on the completion of fuzzy metric spaces
Fuzzy Sets and Systems, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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