Let v be the value function for the dynamic programming problem (example 2.32) subject to xt+1 G(xt),
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subject to xt+1 G(xt), t = 0, 1, 2,..., x0 X
Assume that
¢ f is bounded and continuous on X Ã X
¢ G(x) is nonempty, compact-valued, and continuous for every x X
¢ 0 ¤ p Define the correspondence
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Xt, Xt+1
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