Generalized L-KKM type theorems in L-convex spaces with applications
In this paper, a new notion of generalized L-KKM mappings is introduced. Some generalized L-KKM type theorems for generalized L-KKM mappings with finitely closed (or compactly closed) values and with finitely open (or compactly open) values are established in L-convex spaces. As applications, some Ky Fan type matching theorems, fixed-point theorem and minimax inequality are obtained in L-convex spaces. These results generalize a number of known results in recent literature. (C) 2002 Elsevier Science Ltd. All rights reserved.
l-convex space generalized l-kkm mapping hyperconvex metric space finitely closed (open) set compactly closed (open) set