منابع مشابه
A Result in Dislocated Quasi Metric Space
In this paper, we prove a fixed point theorem in dislocated quasi-metric space which extends and unifies some well-known similar results in literature. Mathematics Subject Classification: 47H10, 54H25.
متن کاملThe Completion of a Metric Space
Let (X, d) be a metric space. The goal of these notes is to construct a complete metric space which contains X as a subspace and which is the “smallest” space with respect to these two properties. The resulting space will be denoted by X and will be called the completion of X with respect to d. The hard part is that we have nothing to work with except X itself, and somehow it seems we have to p...
متن کاملThe Completion of a Metric Space
C[E] := {a : (an)n∈N is a Cauchy sequence in (E, d)} . You should think of C[E] as a new space where each point a ∈ C[E] is a Cauchy sequence a = (an)n∈N from (E, d). Note that for each x ∈ E, we can define x ∈ C[E] by letting xn = x for all n ∈ N. This gives us a way to think of C[E] as containing our original space E, which we will make more precise in Section 3. For a, b ∈ C[E] we define D(a...
متن کاملA Fixed Point Theorem in Dislocated Quasi-Metric Space
The notion of dislocated quasi metric space was initiated by F. M. Zeyada, G. H. Hassan and M. A. Ahmed[18] in 2006. It is a generalization due to P. Hitzler and A. K. Seda[7] in dislocated metric. Dislocated quasi metric space differs from d islocated metric space with symmetric property. After the establishment of d islocated quasi metric space, it has emerged as important area of research ac...
متن کاملOn the Yoneda completion of a quasi-metric space
Several theories aimed at reconciling the partial order and the metric space approaches to Domain Theory have been presented in the literature (e.g. Flagg and Kopperman, Theoret. Comput. Sci. 177 (1) (1997) 111–138; Bonsangue et al., Theoret. Comput. Sci. 193 (1998) 1–51; Symth, Quasi-Uniformities: Reconciling Domains with Metric Spaces, Lectures Notes in Computer Science, vol. 298, Springer, B...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2015
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2015/460893