Results 61 to 70 of about 193 (75)

On the bicompletion of a partial quasi-metric space and $$T_{0}$$-quasi-metric spaces

Afrika Matematika, 2020
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Seithuti Moshokoa, Fanyana Ncongwane
openaire   +3 more sources

A characterization of bicompletable fuzzy quasi-metric spaces

Fuzzy Sets and Systems, 2005
An internal characterization of fuzzy quasi-metric spaces which admit a fuzzy quasi-metric bicompletion is given, and the uniqueness of such a bicompletion is also proved.
Valentín Gregori, Salvador Romaguera, Almanzor Sapena   +2 more
openaire   +2 more sources

Unsymmetric T0-quasi-metrics

, 2020
H.J.K. Junnila [9] called a neighbournet N on a topological space X unsymmetric provided that for each x , y ∈ X with y ∈ ( N ∩ N − 1 ) ( x ) we have that N ( x ) = N ( y ) .
H. Künzi, M. Sioen, F. Yildiz
semanticscholar   +1 more source

Bicompleting the left quasi-uniformity of a paratopological group

Archiv der Mathematik, 1998
Extending results from the theory of topological groups to paratopological groups, the authors show that the bicompletion of the left quasi-uniformity of a paratopological \((T_0)\)-group \(G\) can be considered a topological semigroup which contains \(G\) as a sup-dense subsemigroup. Furthermore they characterize those paratopological \((T_0)\)-groups
Marín, Josefa, Romaguera, Salvador
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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 ...
Künzi, H. P. A., Romaguera, S., Salbany, S.   +2 more
openaire   +2 more sources

Quasi-uniform entropy under free semigroup actions on quasi-uniform spaces

Dynamical systems
In this article, we introduce the notion of quasi-uniform entropy under free semigroup actions on quasi-uniform spaces, which can be viewed as a quasi-uniform version generalization of the topological entropy under free semigroup actions defined by ...
Zhongxuan Yang, Xiaojun Huang
semanticscholar   +1 more source

FIBREWISE BICOMPLETE QUASI-UNIFORM SPACES

Far East Journal of Mathematical Sciences (FJMS), 2015
Summary: We introduce the notion of complete quasi-uniform spaces over a base space \(B\) and give some properties of these spaces. We introduce a general method to obtain fibrewise completion of quasi-uniform spaces over \(B\) and give internal descriptions of fibrewise completions for two different types.
Park, Jin Won, Lee, Byung Sik
openaire   +2 more sources

Fixed point of multivalued maps on partially ordered bicomplete quasi-metric spaces

Discussiones Mathematicae Differential Inclusions, Control and Optimization
Summary: We introduce the concept of d-continuity and \(d^{-1}\)-continuity for multivalued mappings defined on a partially ordered quasi-metric spaces. Then, we prove several fixed point theorems for multivalued maps which generalize the existing results in the literature. At the end we give examples to illustrate our results.
Beg, Ismat, Eroğlu, Irem
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Generating a Probability Measure from a Fractal Structure

Results in Mathematics, 2020
J. Gálvez-Rodríguez, M. Sánchez-Granero   +1 more
semanticscholar   +2 more sources

Functional transitive quasi-uniformities and their bicompletions

2016
Bibliography: pages 111-117.
openaire   +1 more source