Title of article :
MIX-POINT PROPERTY IN QUASI-PSEUDOMETRIC SPACES
Author/Authors :
ULRICH GABA, YAE African Center for Advanced Studies (ACAS) - Yaounde, Cameroon
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 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 , fixed point
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics