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) ;
  • Kang, Shin-Min (Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University) ;
  • 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.

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