MIX-POINT PROPERTY IN QUASI-PSEUDOMETRIC SPACES

Y. U. Gaba

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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, xed point) for multi-valued maps dened on a bicomplete quasi-pseudometric space. We characterise the existence of startpoint and endpoint by the so-called mix-point property. The present results extend known ones in the area.

Keywords

quasi-pseudometric; bi-completeness; startpoint(endpoint); approximate startpoint(endpoint); approximate mix-point property, xed point.