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Nonempty and compact values

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Reference no: EM131350033

Indicate whether the statement is true or false. If it is true, provide a proof, otherwise, provide a counterexample.

Let (X, d) be a metric space and F : X -> X a correspondence. If F is upper semicontinuous and has nonempty and compact values, then F has a fixed point.

Reference no: EM131350033

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