Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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ω-INTERPOLATIVE CONTRACTIONS IN BIPOLAR METRIC SPACES

  • Jong Kyu Kim (Department of Mathematics Education, Kyungnam University) ;
  • Manoj Kumar (Department of Mathematics, Baba Mastnath University) ;
  • Pankaj (Department of Mathematics, Baba Mastnath University)
  • Received : 2022.07.23
  • Accepted : 2022.10.27
  • Published : 2023.06.15
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Abstract

In this paper, we shall introduce the new notions of ω-orbital admissible mappings, ω-interpolative Kannan type contraction and ω-interpolative Ciric-Reich-Rus type contraction. In the setting of these new contractions, we will prove some fixed point theorems in bipolar metric spaces. Some existing results from literature are also deduced from our main results. Some examples are also provided to illustrate the theorems.

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References

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