publication . Preprint . 2017

Mix-point property in quasi-pseudometric spaces

Gaba, Yaé Olatoundji;
Open Access English
  • Published: 01 Mar 2017
Abstract
In this article, we give new results in the startpoint theory for quasi-pseudometric spaces. The results we present provide us with the existence of startpoint (endpoint, fixed point) for multi-valued maps defined on a bicomplete quasi-pseudometric space. We characterise the existence of startpoint and endpoint by the so-called \textit{mix-point property}. The present results extend known ones in the area.
Subjects
arXiv: Mathematics::General TopologyComputer Science::Computational Geometry
free text keywords: Mathematics - Functional Analysis, 47H05 (Primary), 47H09, 47H10 (Secondary)
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1Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

E-mail address: gabayae2@gmail.com

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