The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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BEST PROXIMITY POINT THEOREMS FOR CYCLIC 𝜃-𝜙-CONTRACTION ON METRIC SPACES

  • Rossafi, Mohamed (LASMA Laboratory Department of Mathematics, Faculty of Sciences, Dhar El Mahraz University) ;
  • Kari, Abdelkarim (Laboratory of Algebra, Analysis and Applications, Faculty of Sciences Ben M'Sik, Hassan II University) ;
  • Lee, Jung Rye (Department of Data Science, Daejin University)
  • Received : 2022.09.07
  • Accepted : 2022.09.19
  • Published : 2022.11.30
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Abstract

In this paper, we give an extended version of fixed point results for 𝜃-contraction and 𝜃-𝜙-contraction and define a new type of contraction, namely, cyclic 𝜃-contraction and cyclic 𝜃-𝜙-contraction in a complete metric space. Moreover, we prove the existence of best proximity point for cyclic 𝜃-contraction and cyclic 𝜃-𝜙-contraction. Also, we establish best proximity result in the setting of uniformly convex Banach space.

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References

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