Proceedings of the American Mathematical Society · 1994 · 38 citations · 10 references
Natural SciencesMathematicsTopologyConvex GeometryFixed Point TheoryFixed PointsBanach Fixed Point TheoremConvex SetsExistence Of Fixed PointsFixed Point PropertyTopological Fixed Point TheoryTopological Vector Spaces
We obtain fixed point theorems for a new class of multifunctions containing compact composites of acyclic maps defined on a convex subset of a locally convex Hausdorff topological vector space. Our new results are applied to approximatively compact, convex sets or to Banach spaces with the Oshman property.
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