Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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FIXED POINT THEOREMS IN MENGER SPACES USING AN IMPLICIT RELATION

  • Chauhan, Sunny (R. H. Government Postgraduate College) ;
  • Khan, M. Alamgir (Department of Natural Resources Engineering and Management, University of Kurdistan) ;
  • Pant, B.D. (Government Degree College)
  • Received : 2012.09.07
  • Accepted : 2013.04.25
  • Published : 2013.12.25
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Abstract

In 2008, Al-Thaga and Shahzad [Generalized I-nonexpansive selfmaps and invariant approximations, Acta Math. Sinica, 24(5) (2008), 867-876] introduced the notion of occasionally weakly compatible mappings in metric spaces. In this paper, we prove some common fixed point theorems for families of occasionally weakly compatible mappings in Menger spaces using an implicit relation. We also give an illustrative example to support our main result.

Keywords

References

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