Generalized rational $ \alpha_{\ast}- $ contraction in $ C^{\ast}- $algebra-valued b-metric spaces


  • Mohamed Rossafi Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, Fes,
  • Hafida Massit
  • Abdelkarim Kari



Fixed point, generalized rational $ \alpha_{\ast}- $ contraction, multi-valued mapping, Picard sequences, C^{\ast}- $algebra-valued b-metric spaces


This present paper extends some common fixed point theorems for generalized rational $ \alpha_{\ast}- $ contraction of multi-valued mappings in the setting of $ C^{\ast}- $algebra-valued b-metric spaces .


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