Some new results in extended cone b-metric space
Iqbal Kour, Pooja Saproo, Shallu Sharma
TL;DR
This paper explores topological properties and contraction mappings in extended cone b-metric spaces, introducing conditions for Cauchy sequences and utilizing asymptotic regularity to derive new results.
Contribution
It presents novel insights into the behavior of sequences and contractions in extended cone b-metric spaces, expanding the theoretical framework.
Findings
Established conditions for Cauchy sequences in extended cone b-metric spaces
Analyzed Kannan-type contractions within this framework
Utilized asymptotic regularity to derive new convergence results
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.
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Taxonomy
TopicsFixed Point Theorems Analysis