Published August 31, 2023 | Version v1
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New common fixed point theorem for multi-valued mappings in $b$-metric spaces

  • 1. Department of Mathematics, Applied Mathematics Laboratory, University of Kasdi Merbah, Ouargla, 3000, Algeria.
  • 2. Laboratory of dynamical systems and control, Department of Mathematics and Informatics, Larbi Ben M'Hidi University,

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In this paper, we prove a common fixed point theorem for a pair of multi-valued mappings satisfying generalized contraction conditions in the setting of complete b-metric spaces. The proposed theorem expand and generalize several well-known comparable results in the literature.

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Journal article: 2457-0834 (ISSN)