• Title/Summary/Keyword: Probabilisticmetric space

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SEMI-COMPATIBILITY AND FIXED POINT THEOREM IN MENGER SPACE USING IMPLICIT RELATION

  • Singh, Bijendra;Jain, Shishir
    • East Asian mathematical journal
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    • v.21 no.1
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    • pp.65-76
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    • 2005
  • In this paper the concept of semi-compatibility has been introduced in Menger space and it has been applied to prove results on existence of unique common fixed point of four self maps satisfying an implicit relation. It results in a generalization of Banach contraction principle established by Sehgal and Bharucha-Reid in [8] All the result presented in this paper are new.

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