Let f: B B be a continuous operator on the closed unit ball B in a

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Let f: B → B be a continuous operator on the closed unit ball B in a finite-dimensional normed linear space. Show that the no-retraction theorem implies that f has a fixed point.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:36 AM

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Let f: B B be a continuous operator on the closed unit ball B in a

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Suppose to the contrary that has no fixed point For every x le...View the full answer

Foundations of Mathematical Economics

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