An Investigation of the Common Solutions for Coupled Systems of Functional Equations Arising in Dynamic Programming

Hüseyin Işık and Wutiphol Sintunavarat
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Hüseyin Işık: Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
Wutiphol Sintunavarat: Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand

Mathematics, 2019, vol. 7, issue 10, 1-7

Abstract: The purpose of this paper is to introduce the new notion of a specific point in the space of the bounded real-valued functions on a given non-empty set and present a result based on the existence and uniqueness of such points. As a consequence of our results, we discuss the existence of a unique common solution to coupled systems of functional equations arising in dynamic programming.

Keywords: ? -contraction mapping; ? -coupled fixed point; functional equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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