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On common fixed point sets of commutative mappings

On common fixed point sets of commutative mappings

Let C be a compact convex subset of a locally convex topological vector space X.Anzai and Ishikawa recently proved that if T lf , T n is a finite commutative family of continuous affine self-mappings of C, then i ?τ (Σ?=iΛΪ 7 <) = ΠlU F(T t ) for every …