Some fixed point results on \((\varphi,L,\mathfrak{m})\)-weak contraction in cone 2-metric spaces
type: Item
instance of: scholarly article
title: Some fixed point results on \((\varphi,L,\mathfrak{m})\)-weak contraction in cone 2-metric spaces
zbMATH Open document ID: 1489.54073
author: V. H. Badshah
author: Prakash Bhagat
author: Satish Shukla
published in: Asia Pacific Journal of Mathematics
publication date: 2016-10-12T00:00:00Z
full work available at URL: 3-1-24-37.pdf
review text: Summary: The purpose of this paper is to introduce the notion of \((\varphi,L,\mathfrak{m})\)-weak contractions in cone 2-metric spaces over Banach algebra and to prove some fixed point results for such mappings. Our results generalize and extend several known results of literature into cone 2-metric spaces. Also, we provide some illustrative examples to show the significance of the results proved herein.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 6637982
zbMATH Keywords: fixed point
zbMATH Keywords: cone 2-metric
zbMATH Keywords: comparison function
zbMATH Keywords: \((\varphi,L,\mathfrak{m})\)-weak contraction
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6637982