New generalisations of an H-KKM type theorem and their applications
Xie Ping Ding · Bulletin of the Australian Mathematical Society · 1993
In this note, we establish some new generalisations of an H-KKM type theorem which unify and generalise the corresponding results of Horvath, Bardaro-Ceppitelli, Tarafdar, Shioji, Park and others. As applications of our H-KKM type principle, we obtain some new generalisations of the Ky Fan type geometric properties of.H-spaces, minimax inequalities and coincidence theorems in Horvath's abstract setting.