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On new extended cone b-metric-like spaces over a real Banach algebra

  • Iqra Shereen
  • , Quanita Kiran
  • , Ahmad Aloqaily
  • , Hassen Aydi
  • , Nabil Mlaiki
    • Department of Mathematics
    • School of Electrical Engineering and Computer Science
    • Department of Mathematics and Applied Mathematics
    • Department of Mathematics and Sciences

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)
    2 Downloads (Pure)

    Abstract

    In this article, we introduce the structure of a new extended cone b-metric-like space over a Banach algebra. In this generalized space, we define the notion of generalized Reich-type mappings and prove a fixed point result. We also prove a fixed point result using alpha(& lowast;)-psi multivalued contraction and provide some of its consequences. Finally, we furnish with applications to establish the validity of our results.
    Original languageEnglish
    Article number129
    Number of pages24
    JournalJournal of Inequalities and Applications
    Volume2024
    Issue number1
    DOIs
    Publication statusPublished - Dec 2024

    Keywords

    • Cone metric space
    • multivalued contraction
    • Reich-type mappings

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