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

被引：1

作者：

Isik, Huseyin ^{[1
,2
]}

Sintunavarat, Wutiphol ^{[3
]}

机构：

[1] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City 700000, Vietnam

[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City 700000, Vietnam

[3] Thammasat Univ, Fac Sci & Technol, Dept Math & Stat, Rangsit Ctr, Pathum Thani 12121, Thailand

来源：

MATHEMATICS | 2019年 / 7卷 / 10期

关键词：

theta-contraction mapping; alpha-coupled fixed point; functional equation;

D O I：

10.3390/math7100977

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：7

共 8 条

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Isik, Huseyin
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[J]. FILOMAT, 2014, 28 (06) : 1253 - 1264
[8] A new generalization of the Banach contraction principle
Jleli, Mohamed
Samet, Bessem
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,

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