Generalized contractive set-valued maps on complete preordered quasi-metric spaces
type: Item
instance of: scholarly article
title: Generalized contractive set-valued maps on complete preordered quasi-metric spaces
zbMATH Open document ID: 1395.54051
DOI: 10.1155/2013/269246
author: Yanyan Li
published in: Journal of Function Spaces and Applications
publication date: 2013-02-05T00:00:00Z
review text: Summary: By using a suitable modification of the notion of a \(w\)-distance we obtain some fixed point results for generalized contractive set-valued maps on complete preordered quasi-metric spaces. We also show that several distinguished examples of non-metrizable quasi-metric spaces and of cones of asymmetric normed spaces admit \(w\)-distances of this type. Our results extend and generalize some well-known fixed point theorems.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 54E50
Mathematics Subject Classification ID: 54F05
zbMATH DE Number: 6134552
zbMATH Keywords: \(w\)-distance
zbMATH Keywords: generalized contractive set-valued maps
zbMATH Keywords: complete quasi-metric spaces
Wikidata QID: Q59013861
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/269246
OpenAlex ID: W1982900987
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description: scientific article; zbMATH DE number 6134552