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

  • Liu, Zeqing (DEPARTMENT OF MATHEMATICS LIAONING NORMAL UNIVERSITY) ;
  • Wang, Lili (DEPARTMENT OF MATHEMATICS LIAONING NORMAL UNIVERSITY) ;
  • Kim, Hyeong-Kug (DEPARTMENT OF MATHEMATICS GYEONGSANG NATIONAL UNIVERSITY) ;
  • Kang, Shin-Min (DEPARTMENT OF MATHEMATICS AND THE RESEARCH INSTITUTE OF NATURAL SCIENCE GYEONGSANG NATIONAL UNIVERSITY)
  • Published : 2008.08.31

Abstract

A few sufficient conditions for the existence and uniqueness of fixed point and common fixed point for certain contractive type mappings in complete metric spaces are provided. Several existence and uniqueness results of solution and common solution for some functional equations and system of functional equations in dynamic programming are discussed by using the fixed point and common fixed point theorems presented in this paper.

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