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

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

doi:10.1186/s13660-024-03205-2

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 journal › Article › peer-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 language	English
Article number	129
Journal	Journal of Inequalities and Applications
Volume	2024
Issue number	1
DOIs	https://doi.org/10.1186/s13660-024-03205-2
Publication status	Published - Dec 2024
Externally published	Yes

Keywords

Cone metric space
Reich-type mappings
multivalued contraction

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10.1186/s13660-024-03205-2

Cite this

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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.",

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AU - Aydi, Hassen

AU - Mlaiki, Nabil

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/12

Y1 - 2024/12

N2 - 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.

AB - 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.

KW - Cone metric space

KW - Reich-type mappings

KW - multivalued contraction

UR - https://www.scopus.com/pages/publications/85205668153

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

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Keywords

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