On properties of solutions for a class of functional equations arising in dynamic programming

被引：29

作者：

Liu, Z ^{[1
]}

Ume, JS

机构：

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

[2] Changwon natl Univ, Dept Appl Math, Chang Won, South Korea

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2003年 / 117卷 / 03期

关键词：

dynamic programming; functional equations; nonexpansive mappings;

D O I：

10.1023/A:1023945621360

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The existence, uniqueness, and iterative approximation of solutions for a class of functional equations arising in dynamic programming of multistage decision processes are discussed. Our results resolve in the affirmative an open problem posed in Ref. 1 and generalize important known results.

引用

页码：533 / 551

页数：19

共 50 条

[1] On Properties of Solutions for a Class of Functional Equations Arising in Dynamic Programming
Z. Liu
J.S. Ume
Journal of Optimization Theory and Applications, 2003, 117 : 533 - 551
[2] Solutions to two functional equations arising in dynamic programming
Liu, Zeqing
Xu, Yuguang
Ume, Jeong Sheok
Kang, Shin Min
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 192 (02) : 251 - 269
[3] Existence and uniqueness of solutions of functional equations arising in dynamic programming
Pathak, H. K.
Deepmala
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (13) : 7221 - 7230
[4] Properties of solutions for certain functional equations arising in dynamic programming
Liu, ZQ
Kang, SM
JOURNAL OF GLOBAL OPTIMIZATION, 2006, 34 (02) : 273 - 292
[5] Properties of Solutions for Certain Functional Equations Arising in Dynamic Programming
Zeqing Liu
Shin Min Kang
Journal of Global Optimization, 2006, 34 : 273 - 292
[6] On Properties of Solutions for Two Functional Equations Arising in Dynamic Programming
Zeqing Liu
JeongSheok Ume
ShinMin Kang
Fixed Point Theory and Applications, 2010
[7] Existence and uniqueness of solutions for certain functional equations and system of functional equations arising in dynamic programming
Agarwal, Deepmala
Agarwal, Ravi P.
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2016, 24 (01): : 3 - 28
[8] Properties of Solutions for a Functional Equation Arising in Dynamic Programming
Zeqing Liu
Haijiang Dong
Shin Min Kang
Sunhong Lee
Journal of Optimization Theory and Applications, 2013, 157 : 696 - 715
[9] Properties of Solutions for a Functional Equation Arising in Dynamic Programming
Liu, Zeqing
Dong, Haijiang
Kang, Shin Min
Lee, Sunhong
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 157 (03) : 696 - 715
[10] SOME EXISTENCE THEOREMS OF COMMON AND COINCIDENCE SOLUTIONS FOR A CLASS OF SYSTEMS OF FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING
张石生
AppliedMathematicsandMechanics(EnglishEdition), 1991, (01) : 33 - 39

← 1 2 3 4 5 →