Let F be a nonempty, closed and bounded, convex subset of C(X), the space of continuous functionals

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Let F be a nonempty, closed and bounded, convex subset of C(X), the space of continuous functionals on a compact metric space X. Let T: F → F be a continuous operator on F. If the family T(F) is equicontinuous, then T 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 11:37 AM

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Let F be a nonempty, closed and bounded, convex subset of C(X), the space of continuous functionals

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Hence for the final analysis we can say th...View the full answer

Foundations of Mathematical Economics

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