Journal of applied mathematics & informatics
- Volume 26 Issue 1_2
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- Pages.61-73
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- 2008
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
COMMON FIXED POINTS FOR COMPATIBLE MAPPINGS OF TYPE (P) AND AN APPLICATION IN DYNAMIC PROGRAMMING
- Liu, Zeqing (Department of Mathematics, Liaoning Normal University) ;
- Guo, Zhenyu (Department of Mathematics, Liaoning Normal University) ;
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Kang, Shin-Min
(Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University)
;
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Shim, Soo-Hak
(Department of Mathematics, Gyeongsang National University)
- Published : 2008.01.30
Abstract
In this paper common fixed point theorems dealing with compatible mappings of type (P) are established. As a application, the existence and uniqueness of common solution for a system of functional equations arising in dynamic programming is given. The results presented in this paper improve, generalize and unify the corresponding results in this field.
Keywords
- Common fixed point;
- compatible mappings of type (P);
- iterative sequence;
- dynamic programming;
- common solution;
- system of functional equations