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Harjani, J.; Rocha, J.; Sadarangani, K.

\(\alpha\)-coupled fixed points and their application in dynamic programming. (English) Zbl 1474.90499

Abstr. Appl. Anal. 2014, Article ID 593645, 4 p. (2014).
Summary: We introduce the definition of \(\alpha\)-coupled 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.

Cited in 2 Documents

MSC:

90C39 Dynamic programming
47H10 Fixed-point theorems
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\textit{J. Harjani} et al., Abstr. Appl. Anal. 2014, Article ID 593645, 4 p. (2014; Zbl 1474.90499)
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References:

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