Journal of the
Korean Mathematical Society JKMS

In this paper, from the KKM theorem, we deduce almost fixed point theorems for convex-valued u.s.c. (or l.s.c.) multimaps satisfying certain conditions originated from Zima [19]. From these results, we obtain various fixed point theorems which extend a number of known results.

Keywords: KKM theorem, almost convex subset, u.s.c., l.s.c.

MSC numbers: Primary 47H10, 54C60; Secondary 54H25, 55M20