Extensions of the Banach contraction principle in multiplicative metric spaces

  • Badshah е-Rome Department of Mathematics, University of Malakand, Chakdara Dir(L)
  • Muhammad Sarwar Department of Mathematics, University of Malakand, Chakdara Dir(L)
DOI: https://doi.org/10.5937/vojtehg65-13342
Keywords: Multiplicative metric, Multiplicative open ball, Multiplicative Cauchy sequence, Multiplicative contraction,

Abstract


In this paper, we have proven several generalizations of the Banach contraction principle for multiplicative metric spaces. We have also derived the Cantor intersection theorem in the setup of multiplicative metric spaces. Non-trivial supporting examples are also given.

References

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Published
2017/04/03
Issue
Vol. 65 No. 2 (2017): April – June
Section
Original Scientific Papers

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