Generalized coupled fixed points and its application to a class of systems of functional equations arising in dynamic programming

J. Harjani, J. Rocha and K. Sadarangani

Applied Mathematics and Computation, 2015, vol. 268, issue C, 839-843

Abstract: 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.

Keywords: Coupled fixed point; Functional equation; Dnamic programming (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:839-843

DOI: 10.1016/j.amc.2015.06.124

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