Fixed points via a generalized local commutativity: the compact case
type: Item
instance of: scholarly article
title: Fixed points via a generalized local commutativity: the compact case
zbMATH Open document ID: 1024.47035
DOI: 10.1155/S0161171203107077
author: Gerald Jungck
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/50401
review text: In continuation to his previous work [\textit{G. F. Jungck}, Int. J. Math. Math. Sci. 25, 497-507 (2001; Zbl 1005.47052)], the author obtains fixed point theorems for semigroups \(H\) of self-maps of a compact semimetric space \(X\) which are nearly commutative at continuous maps \(g\) from \(X\) to itself. Illustrative examples are given and some special cases are nicely discussed.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 1930086
zbMATH Keywords: fixed point theorems
zbMATH Keywords: semimetric space
zbMATH Keywords: semigroups
zbMATH Keywords: nearly commutative
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1930086