A quasi-metric space without complete quasi-uniformity

A Result in Dislocated Quasi Metric Space

In this paper, we prove a fixed point theorem in dislocated quasi-metric space which extends and unifies some well-known similar results in literature. Mathematics Subject Classification: 47H10, 54H25.

Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions

In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the qu...

Hyperspace of a fuzzy quasi-uniform space

The aim of this paper is to present a fuzzy counterpart method of constructing the Hausdorff quasi-uniformity of a crisp quasi-uniformity. This process, based on previous works due to Morsi cite{Morsi94} and Georgescu cite{Georgescu08}, allows to extend probabilistic and Hutton $[0,1]$-quasi-uniformities on a set $X$ to its power set.  In this way, we obtain an endofunctor for each one of the c...

The Ultra-Quasi-Metrically Injective Hull of a T 0-Ultra-Quasi-Metric Space

The Semicontinuous Quasi-uniformity of a Frame

The aim of this note is to show how various facts in classical topology connected with semicontinuous functions and the semicontinuous quasi-uniformity have their counterparts in pointfree topology. In particular, we introduce the localic semicontinuous quasi-uniformity, which generalizes the semicontinuous quasiuniformity of a topological space (known to be one of the most important examples o...