• Title/Summary/Keyword: multivalued $({\nu},\,{\mathcal{C}})$-contraction

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MULTI-VALUED HICKS CONTRACTIONS IN 𝑏-MENGER SPACES

  • Youssef Achtoun;Mohammed Sefian Lamarti;Ismail Tahiri
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.2
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    • pp.477-485
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    • 2024
  • 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.