Fixed-point theorems for families of weakly non-expansive maps
type: Item
instance of: scholarly article
title: Fixed-point theorems for families of weakly non-expansive maps
zbMATH Open document ID: 1137.47306
author: Xinhe Liu
author: Jiehua Mai
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-07-19T00:00:00Z
review text: The authors proves some fixed point theorems for families of weakly nonexpansive maps under some relatively weaker and more general conditions. These results generalize and improve several results due to Jungck (2001; Zbl 1005.47052), Jachymski (1993; Zbl 0795.54054), Guo (1993; Zbl 0796.54045), Rhoades (1977; Zbl 0365.54023), and others.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 5172996
zbMATH Keywords: weakly nonexpansive map
zbMATH Keywords: map with diminishing orbital diameters
zbMATH Keywords: common fixed point
zbMATH Keywords: contRactive condition
zbMATH Keywords: semigroup of self-maps
reviewed by: Palaniappan Vijayaraju
MaRDI profile type: Publication
full work available at URL: j.jmaa.2007.01.016
OpenAlex ID: W2117211911
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DOI: 10.1016/J.JMAA.2007.01.016
description: scientific article; zbMATH DE number 5172996