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.
Some fixed point theorems
Some fixed point theorems for weak contraction conditions of integral type.
Some fixed points theorems in generalized -metric spaces.
Some fixed-point theorems for multivalued monotone mappings in ordered uniform space.
Some further aspects of G. Preuss' theory of E-connected spaces
Some generalisations of spaces
Some generalization of Steinhaus' lattice points problem
Steinhaus' lattice points problem addresses the question of whether it is possible to cover exactly n lattice points on the plane with an open ball for every fixed nonnegative integer n. This paper includes a theorem which can be used to solve the general problem of covering elements of so-called quasi-finite sets in Hilbert spaces. Some applications of this theorem are considered.
Some generalizations of completely normal spaces