KKM theorems in Hadamard manifolds

Shue-Chin Huang

Department of Applied Mathematics

National Dong Hwa University


    The purpose of this talk is to present a fixed point theorem for generalized KKM mappings in the Hadamard manifold settings. We derive the finite intersection property of this class of mappings. As an application of this property, we also discuss the existence conditions on the generalized equilibrium problem. This research is supported by a grant MOST 106-2115-M-259-005 from the Ministry of Science and Technology of Taiwan.