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

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2024年9月30日

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

摘要

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 $α^{*} - ψ$ $\alpha^{\ast}-\psi$ multivalued contraction and provide some of its consequences. Finally, we furnish with applications to establish the validity of our results.