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Generalized coupled fixed points and its application to a class of systems of functional equations arising in dynamic programming. (English) Zbl 1410.90235

Summary: In this paper, we introduce the definition of generalized coupled fixed point in the space of the bounded functions on a set \(S\) and we prove a result about the existence and uniqueness of such points. As an application of our result, we study the problem of existence and uniqueness of solutions for a class of systems of functional equations which appears in dynamic programming.

MSC:

90C39 Dynamic programming
65K05 Numerical mathematical programming methods
47H10 Fixed-point theorems
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References:

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