Simultaneous representations in uniform spaces
Some common fixed point theorems for selfmappings satisfying two contractive conditions of integral type in a uniform space
In this paper, we establish some common fixed point theorems for selfmappings of a uniform space by employing both the concepts of an A-distance and an E-distance introduced by Aamri and El Moutawakil [1] and two contractive conditions of integral type. Our results are generalizations and extensions of the classical Banach’s fixed point theorem of [2, 3, 19], some results of Aamri and El Moutawakil [1], Theorem 2.1 of Branciari [5] as well as a result of Jungck [7].
Some conditions under which a uniform space is fine
Let be a uniform space of uniform weight . It is shown that if every open covering, of power at most , is uniform, then is fine. Furthermore, an -metric space is fine, provided that every finite open covering is uniform.
Some factorization theorems for closed subspaces
Some fixed-point theorems for multivalued monotone mappings in ordered uniform space.
Some metrically determined functors of uniform spaces with paved spaces
Some Point Set Properties of Merotopic Spaces and Their Cohomology Groups.
Some Properties of Proximity and Generalized Uniformity.
Some results on uniform spaces with linearly ordered bases
Some sequential properties
Statistical convergence of sequences of functions with values in semi-uniform spaces
We study several kinds of statistical convergence of sequences of functions with values in semi-uniform spaces. Particularly, we generalize to statistical convergence the classical results of C. Arzelà, Dini and P.S. Alexandroff, as well as their statistical versions studied in [Caserta A., Di Maio G., Kočinac L.D.R., {Statistical convergence in function spaces},. Abstr. Appl. Anal. 2011, Art. ID 420419, 11 pp.] and [Caserta A., Kočinac L.D.R., {On statistical exhaustiveness}, Appl. Math. Lett....
Structures quasi-métriques
Structures quasi-métriques (suite)
Structures ultra-uniformes et espaces éparpillés
Successioni di Cauchy e completamento degli spazi uniformi
Sulla uniformità naturale nei gruppi topologici
Supremum properties of Galois-type connections
In a former paper, motivated by a recent theory of relators (families of relations), we have investigated increasingly regular and normal functions of one preordered set into another instead of Galois connections and residuated mappings of partially ordered sets. A function of one preordered set into another has been called (1) increasingly -normal, for some function of into , if for any and we have if and only if ; (2) increasingly -regular, for some function of into itself,...
Sur la sommabilité de familles de fonctions uniformément continues
Sur le théorème de complétion de Buchwalter-Pupier
Symmetry conditions on the coincidence of some notions of quasi-uniform completeness.