Non Linear Contraction Mapping and its Application in Dynamic Programming
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Keywords:$(\alpha -\beta)$-tripled fixed point, real valued function, functional equations, dynamic programming
We introduce the definition of $(\alpha -\beta)$-tripled fixed point in the space of the bounded functions on a set S and we present a result about the existence and uniqueness of such points. Moreover, as an application of our result, we study the problem of existence and uniqueness of solutions for a class of systems of functional equations arising in dynamic programming.
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