منابع مشابه
Some remarks about metric spaces
Of course various kinds of metric spaces arise in various contexts and are viewed in various ways. In this brief survey we hope to give some modest indications of this. In particular, we shall try to describe some basic examples which can be of interest. For the record, by a metric space we mean a nonempty set M together with a distance function d(x, y), which is a real-valued function on M ×M ...
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In [Fuzzy Sets and Systems 27 (1988) 385-389], M. Grabiec in- troduced a notion of completeness for fuzzy metric spaces (in the sense of Kramosil and Michalek) that successfully used to obtain a fuzzy version of Ba- nachs contraction principle. According to the classical case, one can expect that a compact fuzzy metric space be complete in Grabiecs sense. We show here that this is not the case,...
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In this note we make some remarks concerning D–metric spaces, and present some examples which show that many of the basic claims concerning the topological structure of such spaces are incorrect, thus nullifying many of the results claimed for these spaces.
متن کاملSome remarks about curves in metric spaces
and when this happens we say that d(x, y) is an ultrametric. One can check that an ultrametric space is totally disconnected, which is to say that it does not contain a connected subset with more than two elements. Let us say that a subset E of a metric space (M, d(x, y)) is chain connected if for every pair of points u, v ∈ E and every ǫ > 0 there is a finite chain w1, . . . , wl of points in ...
متن کاملRemarks on some recent M. Borcut's results in partially ordered metric spaces
In this paper, some recent results established by Marin Borcut [M. Borcut, Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian J. Math. 28, 2 (2012), 207--214] and [M. Borcut, Tripled coincidence theorems for monotone mappings in partially ordered metric spaces, Creat. Math. Inform. 21, 2 (2012), 135--142] are generalized and improved, with much sho...
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ژورنال
عنوان ژورنال: International Journal of Analysis
سال: 2013
ISSN: 2314-498X,2314-4998
DOI: 10.1155/2013/917158