Honam Mathematical Journal (호남수학학술지)

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A CLASS OF MAPPINGS BETWEEN Rz-SUPERCONTINUOUS FUNCTIONS AND Rδ-SUPERCONTINUOUS FUNCTIONS

  • Prasannan, A.R. (Department of Mathematics, Maharaja Agrasen College, University of Delhi) ;
  • Aggarwal, Jeetendra (Department of Mathematics, Shivaji College, University of Delhi) ;
  • Das, A.K. (Department of Mathematics, Shri Mata Vaishno Devi University) ;
  • Biswas, Jayanta (Department of Mathematics, Delhi University)
  • Received : 2017.07.22
  • Accepted : 2017.11.14
  • Published : 2017.12.25
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Abstract

A new class of functions called $R_{\theta}$-supercontinuous functions is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity, which already exist in the literature, is elaborated. The class of $R_{\theta}$-supercontinuous functions properly contains the class of $R_z$-supercontinuous functions [39] which in turn properly contains the class of $R_{cl}$-supercontinuous functions [43] and so includes all cl-supercontinuous (clopen continuous) functions ([38], [34]) and is properly contained in the class of $R_{\delta}$-supercontinuous functions [24].

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References

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