Let y be a boundary point of a nonempty, convex set S in a Euclidean space X.

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Let y be a boundary point of a nonempty, convex set S in a Euclidean space X. There exists a supporting hyperplane at y; that is, there exists a continuous linear functional f ∈ X* such that
f (y) ≤ f (x) for every x ∈ S

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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 11:43 AM

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Let y be a boundary point of a nonempty, convex set S in a Euclidean space X.

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If y b y and there exists a sequence of points y conv...View the full answer

Foundations of Mathematical Economics

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