Some fixed point theorems of contractive mappings in \(\mathcal{P}_b^r\)-cone metric spaces over Banach algebras
type: Item
instance of: scholarly article
title: Some fixed point theorems of contractive mappings in \(\mathcal{P}_b^r\)-cone metric spaces over Banach algebras
zbMATH Open document ID: 1477.54053
DOI: 10.1155/2021/8447435
author: Abba Auwalu
author: Evren Hincal
published in: Journal of Mathematics
publication date: 2021-07-07T00:00:00Z
review text: Summary: In this paper, we introduce the concept of a \(\mathcal{P}_b^r\)-cone metric space over Banach algebras and prove some fixed point results under various contractive mappings in such a space. Some examples are given to elucidate the results. Our results extend and generalize many existing results in the literature.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 7369052
zbMATH Keywords: \(\mathcal{P}_b^r\)-cone metric space over Banach algebra
zbMATH Keywords: fixed point
zbMATH Keywords: contractive mappings
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/8447435
OpenAlex ID: W3164754646
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description: scientific article; zbMATH DE number 7369052