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Quasi-uniform spaces and $$\mathcal{U}$$-startpoint. (English) Zbl 1392.54031
Summary: In this note, we extend the idea of startpoint to a quasi-uniform space. We present two main results, first for single-valued maps and second for multi-valued maps.
##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 54E15 Uniform structures and generalizations 54E40 Special maps on metric spaces 54C60 Set-valued maps in general topology
##### Keywords:
quasi-uniform spaces; $$\mathcal{U}$$-startpoint
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