Abstract

In this paper, as applications of an open-valued KKM-theorem, we prove an analogous KKM-theorem for open geodesic convex valued multimaps, and next give a Browder-type xed point theorem in a Hadamard manifold. Finally, we will give an existence theorem of maximal element in Hadamard manifolds. Mathematics Subject Classication: 58C30, 49J53

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