Fixed points of uniformly Lipschitzian maps

Wednesday, February 5, 2014 - 16:30 to 17:30
703 Thackeray Hall
Speaker Information
University of Pittsburgh

Abstract or Additional Information

In 1973, Goebel and Kirk showed that uniformly Lipschitzian self-maps on subsets of uniformly convex spaces have fixed points, provided that the uniform Lipschitz constant is sufficiently close to 1.

We will present the proof of this theorem and discuss a result of Lifshitz that improves the theorem of Goebel and Kirk.