Common fixed points for mappings under contractive conditions of \((\alpha,\beta,\psi)\)-admissibility type
type: Item
instance of: scholarly article
title: Common fixed points for mappings under contractive conditions of \((\alpha,\beta,\psi)\)-admissibility type
zbMATH Open document ID: 1405.54030
published in: Mathematics
publication date: 2018-12-18T00:00:00Z
review text: Summary: In this paper, we introduce the notion of \((\alpha, \beta, \psi)\)-contraction for a pair of mappings \((S, T)\) defined on a set \(X\). We use our new notion to create and prove a common fixed point theorem for two mappings defined on a metric space \((X, d)\) under a set of conditions. Furthermore, we employ our main result to get another new result. Our results are modifications of many existing results in the literature. An example is included in order to show the authenticity of our main result.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6994864
zbMATH Keywords: \(\alpha\)-admissible mapping
zbMATH Keywords: common fixed point
zbMATH Keywords: metric spaces
author: Wasfi Shatanawi
MaRDI profile type: Publication
full work available at URL: math6110261
OpenAlex ID: W2901653277
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DOI: 10.3390/MATH6110261
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description: scientific article; zbMATH DE number 6994864