Fixed Points for Convex Continuous Mappings in Topological Vector Spaces
نویسنده
چکیده
We prove the following result. Let C be a convex compact subset in a topological vector space, and T : C → C a convex continuous mapping. (See Definition 1.1.) Then T has a fixed point. Moreover, continuous mappings that can be approximated by convex continuous mappings also have the fixed point property.
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