Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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NEW KINDS OF CONTINUITY IN FUZZY NORMED SPACES

  • Hazarika, Bipan (Department of Mathematics, Gauhati University) ;
  • Mohiuddine, S.A. (Department of General Required Courses, Mathematics, Faculty of Applied Studies, King Abdulaziz University, Operator Theory and Applications Research Group, Department of Mathematics, King Abdulaziz University)
  • Received : 2021.05.06
  • Accepted : 2021.06.13
  • Published : 2021.09.25
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Abstract

We first define the notions of filter continuous, filter sequentially continuous and filter strongly continuous in the framework of fuzzy normed space (FNS), and then we introduce the notion of filter slowly oscillating sequences in the setting of FNS and shows that this notion is stronger than slowly oscillating sequences. Further, we define the concept of filter slowly oscillating continuous functions, filter Cesàro slowly oscillating sequences as well as some other related notions in the aforementioned space and investigate several related results.

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References

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