Results 1 to 10 of about 255 (119)
On bicomplete quasi-pseudometrizability
Topology and Its Applications, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salvador Romaguera
exaly +9 more sources
On the fixed point theory in bicomplete quasi-metric spaces
Journal of Nonlinear Science and Applications, 2016 [EN] We show that some important fixed point theorems on complete metric spaces as Browder’s fixed point theorem and Matkowski’s fixed point theorem can be easily generalized to the framework of bicomplete quasi-metric spaces. From these generalizations we deduce quasi-metric versions of well-known fixed point theorems due to Krasnoselski˘ı and ...
Salvador Romaguera, Pedro Tirado
exaly +8 more sources
The congruence biframe as a quasi-uniform bicompletion [PDF]
Topology and Its Applications, 2020 Künzi and Ferrario have shown that a $T_0$ space is sober if and only if it is bicomplete in the well-monotone quasi-uniformity. We prove a pointfree version of this result: a strictly zero-dimensional biframe is a congruence biframe if and only if it is bicomplete in the same quasi-uniformity.
Graham Manuell
exaly +6 more sources
Duality and quasi-normability for complexity spaces
Applied General Topology, 2002 The complexity (quasi-metric) space was introduced in [23] to study complexity analysis of programs. Recently, it was introduced in [22] the dual complexity (quasi-metric) space, as a subspace of the function space [0,) ω. Several quasi-metric properties
Salvador Romaguera, M.P. Schellekens
doaj +4 more sources
The bicompletion of the Hausdorff quasi-uniformity
Topology and Its Applications, 2009 We study conditions under which the Hausdorff quasi-uniformity ${\mathcal U}_H$ of a quasi-uniform space $(X,{\mathcal U})$ on the set ${\mathcal P}_0(X)$ of the nonempty subsets of $X$ is bicomplete. Indeed we present an explicit method to construct the bicompletion of the $T_0$-quotient of the Hausdorff quasi-uniformity of a quasi-uniform space.
Hans-Peter A Kunzi, S Romaguera
exaly +5 more sources
Smyth completion as bicompletion [PDF]
Topology and its Applications, 1999 In his thesis \textit{H. J. K. Junnila} defined the well-monotone quasi-uniformity \({\mathcal W}(X) \) of a topological space \(X\). \textit{N. Ferrario} and \textit{H. P. A. Künzi} [Math. Proc. Camb. Philos. Soc. 109, No. 1, 167-186 (1991; Zbl 0731.54021)] then showed that the sobrification of a \(T_0\)-space \(X\) can be constructed as the ...
Kopperman, Ralph +2 more
core +4 more sources
The bicompletion of fuzzy quasi-metric spaces [PDF]
Fuzzy Sets and Systems, 2011 Extending the well-known result that every fuzzy metric space, in the sense of Kramosil and Michalek, has a completion which is unique up to isometry, we show that every KM-fuzzy quasi-metric space has a bicompletion which is unique up to isometry, and deduce that for each KM-fuzzy quasi-metric space, the completion of its induced fuzzy metric space ...
S Romaguera
exaly +5 more sources
On semi-Lipschitz functions with values in a quasi-normed linear space
Applied General Topology, 2005 In a recent paper, S. Romaguera and M. Sanchis discussed several properties of semi-Lipschitz real valued functions. In this paper we analyze the structure of the space of semi-Lipschitz functions that are valued in a quasi-normed linear space.
José Manuel Sánchez-Álvarez
doaj +1 more source
Asymmetry and bicompletion of approach spaces
Topology and its Applications, 2006 The authors introduce a functor of symmetrizing approach spaces and then develop a bicompletion theory for \(T_0\) approach spaces, which extends the the completion theory of Hausdorff uniform approach spaces obtained by \textit{R. Lowen} and \textit{K. Robeys} [ Q. J. Math., Oxf. II. Ser. 43, No. 171, 319--338 (1992; Zbl 0796.54033)].
Brummer, G.c.l., Sioen, Mark
openaire +2 more sources
The bicompletion of intuitionistic fuzzy quasi-metric spaces
AIP Conference Proceedings, 2012 Pedro Tirado acknowledges the support of the Ministry of Economy and Comptetitiveness of Spain, gran MTM2012-37894-C02 ...
Castro Company, Francisco +1 more
openaire +2 more sources