Polytechnic University of Valencia Congress, Workshop Applied Topological Structures WATS'17

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A characterization of quasi-metric completeness
Hacer Dag, Salvador Romaguera, Pedro Tirado

Last modified: 27-11-2019

Abstract


Hu proved in[4]that a metric space(X, d)is complete if and only if forany closed subspaceCof(X, d), every Banach contraction onChasfixed point. Since then several authors have investigated the problemof characterizing the metric completeness by means of fixed point theo-rems. Recently this problem has been studied in the more general con-text of quasi-metric spaces for different notions of completeness. Herewe present a characterization of a kind of completeness for quasi-metricspaces by means of a quasi-metric versions of Hu’s theorem

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