Solution to a compactification problem of Sklyarenko
Some applications of non-standard analysis to proximity spaces
Some approaches to topological spaces.
Some Baire category type theorems for
Some basic notions of mathematical analysis in oriented metric spaces
Some cases of compatibility of the tangency relations of sets.
Some characterizations of bitopological connectivity properties
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 common fixed point theorems in complete -fuzzy metric spaces.
Some common fixed point theorems in Menger PM spaces.
Some Common Fixed Point Theorems in Menger Spaces
In this paper, we prove some common fixed point theorems for occasionally weakly compatible mappings in Menger spaces. An example is also given to illustrate the main result. As applications to our results, we obtain the corresponding fixed point theorems in metric spaces. Our results improve and extend many known results existing in the literature.
Some completeness theorems in the Menger probabilistic metric space.
Some complexity results in topology and analysis
If X is a compact metric space of dimension n, then K(X), the n- dimensional kernel of X, is the union of all n-dimensional Cantor manifolds in X. Aleksandrov raised the problem of what the descriptive complexity of K(X) could be. A straightforward analysis shows that if X is an n-dimensional complete separable metric space, then K(X) is a or PCA set. We show (a) there is an n-dimensional continuum X in for which K(X) is a complete set. In particular, ; K(X) is coanalytic but is not an analytic...
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 continuous separation axioms
Some cover properties of nonseparable metric spaces
Some extensions on the Sadovskii functor.
Some factorization theorems for closed subspaces
Some factorization theorems for paracompact -spaces
Some fixed point results in Menger spaces using a control function.