Quasi-uniform spaces and \(\mathcal{U}\)-startpoint. (English) Zbl 1392.54031

Gaba, Yaé Ulrich

Afr. Diaspora J. Math. 21, No. 1, 53-56 (2018).

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