East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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COMMON FIXED POINT THEOREMS FOR COMPATIBLE MAPPINGS OF TYPE (A) AND (P) WITH APPLICATIONS IN DYNAMIC PROGRAMMING

  • Jiang, Guojing (Dalian Vocational Technical College) ;
  • Liu, Min (Department of Mathematics Liaoning Normal University) ;
  • Lee, Suk-Jin (Department of Mathematics and the Research Institute of Natural Science Gyeongsang National University) ;
  • Kang, Shin-Min (Department of Mathematics and the Research Institute of Natural Science Gyeongsang National University)
  • Received : 2008.01.03
  • Accepted : 2008.09.10
  • Published : 2009.03.31
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Abstract

In this paper, the concepts of compatible mappings of types (A) and (P) are introduced in an induced metric space, two common xed point theorems for two pairs of compatible mappings of types (A) and (P) in an induced complete metric space are established. As their applications, the existence and uniqueness results of common solution for a system of functional equations arising in dynamic programming are discussed.

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References

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