Results 11 to 20 of about 16,669 (226)
Formalized Mathematics, 2016 Abstract In this article, using mostly Pervin [9], Kunzi [6], [8], [7], Williams [11] and Bourbaki [3] works, we formalize in Mizar [2] the notions of quasiuniform space, semi-uniform space and locally uniform space. We define the topology induced by a quasi-uniform space.
Roland Coghetto, Coghetto, Roland
openaire +4 more sources
Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces [PDF]
Abstract and Applied Analysis, 2012 Some new vectorial Ekeland variational principles in cone quasi-uniform spaces are proved. Some new equivalent principles, vectorial quasivariational inclusion principle, vectorial quasi-optimization principle, vectorial quasiequilibrium principle are ...
Jiang Zhu +3 more
doaj +2 more sources
Uniformization of quasi-uniform spaces [PDF]
Bulletin of the Australian Mathematical Society, 1981 This paper considers the question of when a quasi-uniform space has a compatible uniform structure. Typical of the sufficient conditions provided is the result that a quasi-uniform space whose conjugate topology is compact and R0 is uniformizable.
Raghavan, T. G., Reilly, I. L.
openaire +1 more source
Weakly uniform rank two vector bundles on multiprojective spaces [PDF]
, 2011 Here we classify the weakly uniform rank two vector bundles on multiprojective spaces. Moreover, we show that every rank r>2 weakly uniform vector bundle with splitting type a1,1=⋯=ar,s=0 is trivial and every rank r>2 uniform vector bundle with ...
Malaspina, Francesco +5 more
core +1 more source
Quasi-uniform convergence topologies on function spaces- Revisited
Applied General Topology, 2017 Let X and Y be topological space and F(X,Y) the set of all functions from X into Y. We study various quasi-uniform convergence topologies U_{A} (A⊆P(X)) on F(X,Y) and their comparison in the setting of Y a quasi-uniform space.
Wafa Khalaf Alqurash, Liaqat Ali Khan
doaj +1 more source
UNIQUE FIXED POINT THEOREMS FOR CONTRACTIVE MAPS TYPE IN T 0 -QUASI-METRIC SPACES [PDF]
, 2014 In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T 0 -ultra-quasi-metric space has a unique fixed point.
Yae ́ Ulrich Gaba
core +1 more source
Symmetry Conditions on the Coincidence of Some Notions of Quasi-Uniform Completeness
International Journal of Mathematics and Mathematical Sciences, 2007 We generalize the notions of quietness and semisymmetry defined by Doitchinov (1991) and Deák (1991) and we study the role of these extended notions on the coincidence of some well-known quasi-uniform completeness.
Athanasios Andrikopoulos
doaj +1 more source
The scale of a quasi-uniform space [PDF]
Acta Mathematica Hungarica, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Künzi, H.-P. A., Otafudu, O. O.
openaire +1 more source
On uniformly locally compact quasi-uniform hyperspaces [PDF]
, 2004 summary:We characterize those Tychonoff quasi-uniform spaces $(X,\mathcal {U})$ for which the Hausdorff-Bourbaki quasi-uniformity is uniformly locally compact on the family $\mathcal {K}_{0}(X)$ of nonempty compact subsets of $X$. We deduce, among other
Künzi, H. P. A. +7 more
core +1 more source
Some Properties of Fuzzy Quasimetric Spaces
International Journal of Mathematics and Mathematical Sciences, 2010 Some properties of fuzzy quasimetric spaces are studied. We prove that the topology induced by any 0𝑥0005𝑒𝑀-complete fuzzy-quasi-space is a 0𝑥0005𝑒𝑑-complete quasimetric space. We also prove Baire's theorem, uniform limit theorem, and second countability
Abdul Mohamad
doaj +1 more source