ON PROPERTIES OF SOLUTIONS FOR A FUNCTIONAL EQUATION

被引：0

作者：

Liu, Zeqing ^{[1
]}

Kang, Shin Min ^{[2
,3
]}

机构：

[1] Liaoning Normal Univ, Dept Math, Dalian 116029, Liaoning, Peoples R China

[2] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[3] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2015年 / 46卷 / 01期

关键词：

Functional equation; dynamic programming; continuous bounded solutions; bounded solutions; solutions; Mann iterative methods; Banach fixed point theorem; EXISTENCE THEOREMS; SOLVABILITY; SYSTEM;

D O I：

10.12775/TMNA.2015.040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies properties of solutions for a functional equation arising in dynamic programming of multistage decision processes. Using the Banach fixed point theorem and the Mann iterative methods, we prove the existence and uniqueness of solutions and convergence of sequences generated by the Mann iterative methods for the functional equation in the Banach spaces BC(S) and B(S) and the complete metric space BB(S), and discuss behaviors of solutions for the functional equation in the complete metric space BB(S). Four examples illustrating the results presented in this paper are also provided.

引用

页码：113 / 133

页数：21

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