COMMON FIXED POINT THEOREMS FOR CONTRACTIVE TYPE MAPPINGS AND THEIR APPLICATIONS IN DYNAMIC PROGRAMMING

Zeqing Liu, Lili Wang, Hyeong-Kug Kim, Shin-Min Kang
2008 Bulletin of the Korean Mathematical Society  
In this paper, the concepts of compatible mappings of type (A) and type (P ) are introduced in an induced metric space, two common fixed point theorems for two pairs of compatible mappings of type (A) and type (P ) in an induced complete metric space are established, and the * Corresponding author existence and uniqueness results of common solution for a system of functional equations arising in dynamic programming as applications of these common fixed point theorems presented are discussed.
doi:10.4134/bkms.2008.45.3.573 fatcat:znvprmvn3jenrmugix4zsd3jta