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Fixed points and iteration homotopies
Published online by Cambridge University Press: 09 April 2009
Extract
Suppose that Ф is a topological space equipped with a Hausdorff topology and that T is a continuous function mapping Ф into Ф. We discuss the existence and uniqueness of fixed points of T and the convergence of the Picard sequence of iterates, from the viewpoint of the existence of a homotopy with special properties.
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- Copyright © Australian Mathematical Society 1972
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