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A fixed-point theorem is a result saying that a function $F$ will have at least one fixed point (a point $x$ for which $F(x) = x$), under some conditions on $F$ that can be stated in general terms.

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Existence of infinite horizon values in dynamic programming

I am working through the book "Foundations of Stochastic Inventory Theory". One of the results in the book is Theorem 11.2. The background to this theorem is as follows. Given finite state space $\mat …
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