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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
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Full Text: Euclid