Results 211 to 220 of about 102,220 (261)
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ON THE COMPLETION OF -METRIC SPACES
Bulletin of the Australian Mathematical Society, 2018Based on the metrisation of$b$-metric spaces of Paluszyński and Stempak [‘On quasi-metric and metric spaces’,Proc. Amer. Math. Soc.137(12) (2009), 4307–4312], we prove that every$b$-metric space has a completion. Our approach resolves the limitation in using the quotient space of equivalence classes of Cauchy sequences to obtain a completion of a$b ...
NGUYEN VAN DUNG, VO THI LE HANG
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COMPLETIONS OF PRODUCTS OF METRIC SPACES
The Quarterly Journal of Mathematics, 1992Completeness and completions are described for spaces from the epireflective hull of pseudometric spaces (infinite values are allowed) in approach spaces. For metric spaces they coincide with the known concepts; every completely regular space is complete.
Lowen, R., Robeys, K.
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COMPLETENESS IN MULTI METRIC SPACES
South East Asian J. of Mathematics and Mathematical Sciences, 2022In the present paper a notion of convergence in multi metric space is presented. Complete multi metric space is introduced and some properties are studied. Cantor’s intersection theorem and Banach’s fixed point theorem are es- tablished in multi set settings.
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On the completion of fuzzy metric spaces
Fuzzy Sets and Systems, 2008The main result is the following: Suppose that \((x,d,L,R)\) is a fuzzy metric space. Suppose that \(\{\lambda_0(x_n,y_n) \}^\infty_{n=1}\) and \(\{\rho_0(x_n,y_n)\}^\infty_{n=1}\) are left equicontinuous, whenever \(\{x_n\}\) and \(\{y_n\}\) are Cauchy sequences. Then \((x,d,L,R)\) has a completion which is uniquely determined up to isometry.
Huan Huang 0005, Congxin Wu
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Completion of gradual metric spaces
Journal of Intelligent & Fuzzy Systems, 2014In this paper, a completion theorem for gradual metric space and a completion theorem for gradual normed linear space are proved. The completion spaces are defined by means of an equivalence relation obtained by convergence of sequences via the gradual metrics and the gradual norms, respectively.
Bing Wang, Bin Pang 0004, Guiyan Ding
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On completion of fuzzy metric spaces
Fuzzy Sets and Systems, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Valentín Gregori, Salvador Romaguera
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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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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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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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