• Title/Summary/Keyword: countable family of pseudometrics

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COMMON FIXED POINT THEOREMS FOR COMPATIBLE MAPPINGS OF TYPE (A) AND (P) WITH APPLICATIONS IN DYNAMIC PROGRAMMING

  • Jiang, Guojing;Liu, Min;Lee, Suk-Jin;Kang, Shin-Min
    • East Asian mathematical journal
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    • v.25 no.1
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    • pp.11-26
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    • 2009
  • 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.