Some applications of minimal open sets.
Some applications of non-standard analysis to proximity spaces
Some applications of the point-open subbase game
Given a subbase of a space , the game is defined for two players and who respectively pick, at the -th move, a point and a set such that . The game stops after the moves have been made and the player wins if ; otherwise is the winner. Since is an evident modification of the well-known point-open game , the primary line of research is to describe the relationship between and for a given subbase . It turns out that, for any subbase , the player has a winning strategy...
Some applications of tiny sequences
Some approaches to topological spaces.
Some approximate fixed point theorems without continuity of the operator using auxiliary functions
We introduce partial generalized convex contractions of order and rank using some auxiliary functions. We present some results on approximate fixed points and fixed points for such class of mappings having no continuity condition in -complete metric spaces and -complete metric spaces. Also, as an application, some fixed point results in a metric space endowed with a binary relation and some approximate fixed point results in a metric space endowed with a graph have been obtained. Some examples...
Some Baire category type theorems for
Some basic notions of mathematical analysis in oriented metric spaces
Some cardinal generalizations of pseudocompactness
Some cases of compatibility of the tangency relations of sets.
Some characterization of c-paracompact and c-collectionwise normal spaces by continuous selections (II).
Some characterizations of bitopological connectivity properties
Some characterizations of c-paracompact and c-collectionwise normal spaces by continuous selections (I).
In this note we characterize the c-paracompact and c-collectionwise normal spaces in terms of continuous selections. We include the usual techniques with the required modifications by the cardinality.
Some characterizations of open, closed, and continuous mappings.
Some characterizations of paracompactness in k-spaces
Some characterizations of smooth continua.
Some classes of countably compact spaces
Some classes of locally connected continua
Some cohomological aspects of the Banach fixed point principle
Let be a continuous selfmap of a compact metrizable space . We prove the equivalence of the following two statements: (1) The mapping is a Banach contraction relative to some compatible metric on . (2) There is a countable point separating family of non-negative functions such that for every there is with .
Some combinatorial properties of ultrafilters