Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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MULTI-VALUED HICKS CONTRACTIONS IN 𝑏-MENGER SPACES

  • Youssef Achtoun (Department of Mathematics Computing and Physical Sciences, Normal Higher School, Abdelmalek Essaadi University) ;
  • Mohammed Sefian Lamarti (Department of Mathematics Computing and Physical Sciences, Normal Higher School, Abdelmalek Essaadi University) ;
  • Ismail Tahiri (Department of Mathematics Computing and Physical Sciences, Normal Higher School, Abdelmalek Essaadi University)
  • Received : 2023.08.27
  • Accepted : 2024.03.13
  • Published : 2024.06.15
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Abstract

In this work, we will generalize the notion of multivalued (ν, 𝒞)-contraction mapping in 𝑏-Menger spaces and we shall give a new fixed point result of this type of mappings. As a consequence of our main result, we obtained the corresponding fixed point theorem in fuzzy 𝑏-metric spaces. Also, an example will be given to illustrate the main theorem in ordinary 𝑏-metric spaces.

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References

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