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2-metrische Räume und ihre topologische Struktur†‡‡
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This article is published in Mathematische Nachrichten.The article was published on 1963-01-01. It has received 482 citations till now.read more
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Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces
TL;DR: The existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space as mentioned in this paper, where is the usual metric spaces which defined from the complete -metric space.
Journal ArticleDOI
Fixed Point Theorems for Contractive Mappings in Complete -Metric Spaces
Zead Mustafa,Brailey Sims +1 more
TL;DR: In this article, the uniqueness of fixed point results for mappings satisfying various contractive conditions on complete -metric spaces is proved. And the uniqueness and continuity of such mappings are shown to be -continuous.
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Common Fixed Point Theorems in Complex Valued Metric Spaces
Akbar Azam,Brian Fisher,M. Khan +2 more
TL;DR: In this article, complex valued metric spaces are introduced and sufficient conditions for the existence of common fixed points of a pair of mappings satisfying contractive type conditions are obtained. But these conditions are not sufficient for all mappings.
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Book ChapterDOI
Untersuchungen über allgemeine Metrik
TL;DR: Von Metrik is in verschiedenen Teilen der Geometrie die Rede, in der Elementargeometrie, in the Differentialgeometrie and in der Mastheorie, der Punktmengenlehre as discussed by the authors.
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Metrization of Topological Spaces
TL;DR: In this article, the authors define a metric for a topological space provided that for points x, y, z of the space: 1. x belongs to the closure of the set M if and only if D(x, m) (m element of M) is not bounded from 0 (preserves limit points).