Fixed point theorems for condensing multimaps on locally image-convex spaces Original Research Article

In this paper we investigate the fixed point problem for condensing multimaps on locally GG-convex spaces instead of the usual locally convex topological vector spaces. We show that every condensing closed self-multimap that has ΓΓ-convex values on a nonempty complete ΓΓ-convex subset of a locally GG-convex space has a fixed point. Some fixed point results for condensing multimaps which have lower semicontinuous (l.s.c.) cores and applications to abstract economy are also presented.