Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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FIXED POINT THEOREMS IN QUASI-METRIC SPACES

  • Abdelkarim Kari (Laboratory of Algebra, Analysis and Applications, Faculty of Sciences, Ben M'Sik, Hassan II University) ;
  • Mohamed Rossafi (LASMA Laboratory, Department of Mathematics, Faculty of Sciences, Dhar El Mahraz University) ;
  • Jung Rye Lee (Department of Data Sciences, Daejin University)
  • Received : 2022.05.20
  • Accepted : 2022.11.03
  • Published : 2023.06.15
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Abstract

Fixed point theory is the center of focus for many mathematicians from last few decades. A lot of generalizations of the Banach contraction principle have been established. In this paper, we introduce the concepts of 𝜃-contraction and 𝜃-𝜑-contraction in quasi-metric spaces to study the existence of the fixed point for them.

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References

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