Some New Results in Extended Cone \(b\)-Metric Space

The main aspect of this paper is to investigate some topological properties and Kannan-type contractions in extended cone b-metric spaces. Additionally, we have imposed some extra conditions such that a sequence in an extended cone b-metric space becomes a Cauchy sequence. Furthermore, in order to achieve new results the concept of asymptotic regularity has also been utilized.

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Publication Details

Journal
Communications in Mathematics and Applications
Published
2024-11-14
DOI
https://doi.org/10.26713/cma.v15i2.2591
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Some New Results in Extended Cone \(b\)-Metric Space

Iqbal Kour, Pooja Saproo, Sahil Billawria, Shallu Sharma
Communications in Mathematics and Applications
Fixed Point Theorems Analysis
article

Some New Results in Extended Cone \(b\)-Metric Space

Iqbal Kour, Pooja Saproo, Sahil Billawria, Shallu Sharma
article en

Abstract

The main aspect of this paper is to investigate some topological properties and Kannan-type contractions in extended cone b-metric spaces. Additionally, we have imposed some extra conditions such that a sequence in an extended cone b-metric space becomes a Cauchy sequence. Furthermore, in order to achieve new results the concept of asymptotic regularity has also been utilized.

Communications in Mathematics and ApplicationsVol. 15(2)
University of Jammu (IN)
Openalex Percentile: Top 61%
Fixed Point Theorems Analysis
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Some New Results in Extended Cone \(b\)-Metric Space — Iqbal Kour, Pooja Saproo, et al. · Communications in Mathematics and Applications (2024) | TGRS Research Map | TGRS