COMMON FIXED POINT THEOREMS WITH APPLICATIONS TO THE SOLUTIONS OF FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING

被引：0
|
作者：
Liu, Zeqing [1 ]
Liu, Min [1 ]
Kim, Hyeong Kug [2 ]
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, Res Inst Nat Sci, Jinju 660701, South Korea
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 24卷 / 01期
关键词：
common fixed point; continuous mapping; complete metric space; system of functional equations; common solution; dynamic programming;
D O I：
10.4134/CKMS.2009.24.1.067
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Several common fixed point theorems for a few contractive type mappings in complete metric spaces are established. As applications, the existence and uniqueness of common solutions for certain systems of functional equations arising in dynamic programming are discussed.
引用
收藏
页码：67 / 83
页数：17
相关论文
共 50 条
  • [1] A common fixed point theorem for compatible mappings with application to functional equations arising in dynamic programming
    Wang, WL
    Kang, SM
    FIXED POINT THEORY AND APPLICATIONS, VOL 5, 2004, : 155 - 161
  • [2] SOME EXISTENCE THEOREMS OF COMMON AND COINCIDENCE SOLUTIONS FOR A CLASS OF SYSTEMS OF FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING
    张石生
    Applied Mathematics and Mechanics(English Edition), 1991, (01) : 33 - 39
  • [3] A common fixed point theorem for compatible mappings with application to a system of functional equations arising in dynamic programming
    Wu, QH
    An, ZF
    Park, YS
    Kang, SM
    FIXED POINT THEORY AND APPLICATIONS, VOL 4, 2003, : 203 - 211
  • [4] Existence theorems of solutions for certain classes of functional equations arising in dynamic programming
    Liu, ZQ
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (02) : 529 - 553
  • [5] Common fixed point theorems for contractive type mappings and their applications in dynamic programming
    Liu, Zeqing
    Wang, Lili
    Kim, Hyeong Kug
    Kang, Shin Min
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (03) : 573 - 585
  • [6] COMMON FIXED POINT THEOREMS WITH AN APPLICATION IN DYNAMIC PROGRAMMING
    Jiang, Guojing
    Kang, Shin Min
    MISKOLC MATHEMATICAL NOTES, 2018, 19 (02) : 923 - 930
  • [7] An Investigation of the Common Solutions for Coupled Systems of Functional Equations Arising in Dynamic Programming
    Isik, Huseyin
    Sintunavarat, Wutiphol
    MATHEMATICS, 2019, 7 (10)
  • [8] Fixed point theorems via generalized F-contractions with applications to functional equations occurring in dynamic programming
    Singh, Deepak
    Joshi, Vishal
    Imdad, Mohammad
    Kumam, Poom
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (02) : 1453 - 1479
  • [9] Some existence theorems for functional equations arising in dynamic programming
    Liu, ZQ
    Ume, JS
    Kang, SM
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2006, 43 (01) : 11 - 28
  • [10] SOME EXISTENCE THEOREMS FOR FUNCTIONAL EQUATIONS AND SYSTEM OF FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING
    Liu, Zeqing
    Ume, Jeong Sheok
    Kang, Shin Min
    TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (04): : 1517 - 1536
12345