On completeness of quasi-pseudometric spaces.
Moshokoa, Seithuti P. (2005)
International Journal of Mathematics and Mathematical Sciences
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Moshokoa, Seithuti P. (2005)
International Journal of Mathematics and Mathematical Sciences
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Elena Alemany, Salvador Romaguera (1996)
Commentationes Mathematicae Universitatis Carolinae
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We characterize the quasi-metric spaces which have a quasi-metric half-completion and deduce that each paracompact co-stable quasi-metric space having a quasi-metric half-completion is metrizable. We also characterize the quasi-metric spaces whose bicompletion is quasi-metric and it is shown that the bicompletion of each quasi-metric compatible with a quasi-metrizable space is quasi-metric if and only if is finite.
Salvador Romaguera, Enrique A. Sánchez-Pérez, Oscar Valero (2003)
Kybernetika
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We introduce a new (extended) quasi-metric on the so-called dual p-complexity space, which is suitable to give a quantitative measure of the improvement in complexity obtained when a complexity function is replaced by a more efficient complexity function on all inputs, and show that this distance function has the advantage of possessing rich topological and quasi-metric properties. In particular, its induced topology is Hausdorff and completely regular. Our approach is applied to the...
Naidu, S.V.R., Rao, K.P.R., Rao, N.Srinivasa (2005)
International Journal of Mathematics and Mathematical Sciences
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Marín, J., Romaguera, S., Tirado, P. (2011)
Fixed Point Theory and Applications [electronic only]
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Deák, J. (1990)
Mathematica Pannonica
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