한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제29권4호
  • /
  • Pages.335-352
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  • 2022
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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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)
  • 투고 : 2022.09.07
  • 심사 : 2022.09.19
  • 발행 : 2022.11.30
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초록

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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참고문헌

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