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

Iqra Shereen, Quanita Kiran, Ahmad Aloqaily, Hassen Aydi*, Nabil Mlaiki

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 α−ψ multivalued contraction and provide some of its consequences. Finally, we furnish with applications to establish the validity of our results.

Original languageEnglish
Article number129
JournalJournal of Inequalities and Applications
Volume2024
Issue number1
DOIs
Publication statusPublished - Dec 2024
Externally publishedYes

Keywords

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

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