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Journal of the Nigerian Association of Mathematical Physics

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On finitely many fixed points

JO Olaleru

Abstract




Let C be the finite union of closed convex sets in a complete metrisable locally convex space. If f: C → C with f(C) compact, then f can be approximated by a map g: C → C which has only a finite number of fixed points. This result, which is a generalization of the result of Baillon and Rallis, is proved in this paper.

Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 167-170



http://dx.doi.org/10.4314/jonamp.v10i1.40121
AJOL African Journals Online