호남수학학술지 (Honam Mathematical Journal)

  • 제35권2호
  • /
  • Pages.109-117
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  • 2013
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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FIXED POINTS OF CONVERSE COMMUTING MAPPINGS USING AN IMPLICIT RELATION

  • Chauhan, Sunny (Near Nehru Training Centre) ;
  • Khan, M. Alamgir (Department of Natural Resources Engineering and Management, University of Kurdistan) ;
  • Sintunavarat, Wutiphol (Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT))
  • Received : 2012.09.08
  • Accepted : 2013.04.25
  • Published : 2013.06.25
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Abstract

In the present paper, we utilize the notion of converse commuting mappings due to L$\ddot{u}$ [On common fixed points for converse commuting self-maps on a metric spaces, Acta. Anal. Funct. Appl. 4(3) (2002), 226-228] and prove a common fixed point theorem in Menger space using an implicit relation. We also give an illustrative example to support our main result.

Keywords

References

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  1. Common Fixed Point Theorems for Conversely Commuting Mappings Using Implicit Relations vol.2013, 2013, https://doi.org/10.1155/2013/391474