Results 1 to 10 of about 149 (94)

Duality and quasi-normability for complexity spaces [PDF]

open access: yesApplied 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   +2 more sources

On semi-Lipschitz functions with values in a quasi-normed linear space

open access: yesApplied 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

Absolutely minimal semi-Lipschitz extensions. [PDF]

open access: yesCalc Var Partial Differ Equ
Daniilidis A, Lê TM, Venegas FM.
europepmc   +1 more source

On bicomplete quasi-pseudometrizability [PDF]

open access: yesTopology and Its Applications, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salvador Romaguera
exaly   +8 more sources

On the fixed point theory in bicomplete quasi-metric spaces

open access: yesJournal 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 ...
Pedro Tirado
exaly   +6 more sources

The congruence biframe as a quasi-uniform bicompletion [PDF]

open access: yesTopology 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   +4 more sources
Some of the next articles are maybe not open access.

Bispaces admitting only bicomplete or only totally bounded quasi-metrics

Rendiconti Del Circolo Matematico Di Palermo, 2001
The authors extend the following result: a (pseudo) metrizable topological space admits only complete (pseudo) metrics if and only if it is compact. In section 2 the above result is studied for quasi-(pseudo) metrizable bispaces. An example shows that it is not true that quasi-metrizable bispaces \((X,S,T)\) admit only bicomplete quasi-metrics if and ...
S Romaguera, H P A Kunzi
exaly   +3 more sources

μ-Bicomplete Categories and Parity Games

RAIRO - Theoretical Informatics and Applications, 2002
Luigi Santocanale
exaly  

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