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

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

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2024-09-30
DOI
https://doi.org/10.1186/s13660-024-03205-2
Citations
2
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
2.02

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article

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

Quanita Kiran, Nabil Mlaiki, Ahmad Aloqaily, Hassen Aydi et al.
2 citations
Journal of Inequalities and Applications
Fixed Point Theorems Analysis
2.02
article

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

Quanita Kiran, Nabil Mlaiki, Ahmad Aloqaily, Hassen Aydi, Iqra Shereen
article en
2 citations

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

Journal of Inequalities and ApplicationsVol. 2024(1)
Quaid-i-Azam University (PK), Prince Sultan University (SA), Sefako Makgatho Health Sciences University (ZA), Western Sydney University (AU), University of Sousse (TN), National University of Sciences and Technology (PK)
Prince Sultan University
Openalex Percentile: Top 14%
Fixed Point Theorems Analysis
2.02
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On new extended cone b-metric-like spaces over a real Banach algebra — Quanita Kiran, Nabil Mlaiki, et al. · Journal of Inequalities and Applications (2024) | TGRS Research Map | TGRS