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Commun. Korean Math. Soc. 2009; 24(1): 67-83
Printed March 1, 2009
Copyright © The Korean Mathematical Society.
Common fixed point theorems with applications to the solutions of functional equations arising in dynamic programming
Zeqing Liu, Min Liu, Hyeong Kug Kim, and Shin Min Kang
Liaoning Normal University, Liaoning Normal University, Gyeongsang National University, and Gyeongsang National University
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.
Keywords: common fixed point, continuous mapping, complete metric space, system of functional equations, common solution, dynamic programming
MSC numbers: 54H25, 49L20, 49L99
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