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Open AccessArticle

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

1
Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
2
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
3
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand
*
Authors to whom correspondence should be addressed.
Mathematics 2019, 7(10), 977; https://doi.org/10.3390/math7100977
Received: 7 August 2019 / Revised: 31 August 2019 / Accepted: 2 September 2019 / Published: 16 October 2019
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
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. View Full-Text
Keywords: ϑ-contraction mapping; α-coupled fixed point; functional equation ϑ-contraction mapping; α-coupled fixed point; functional equation
MDPI and ACS Style

Işık, H.; Sintunavarat, W. An Investigation of the Common Solutions for Coupled Systems of Functional Equations Arising in Dynamic Programming. Mathematics 2019, 7, 977.

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