Fixed point theorems for semi-groups of self maps of semi-metric spaces

We use selected semi-groups of self maps of a semi-metric space to obtain fixed point theorems for single maps and for families of mapstheorems which generalize results by Browder, Jachymski, Rhoades and Waiters, and others. A basic tool in our approach is the concept of commuting maps.

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Main Author: G. Jungck
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171298000167
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author G. Jungck
author_facet G. Jungck
author_sort G. Jungck
collection DOAJ
description We use selected semi-groups of self maps of a semi-metric space to obtain fixed point theorems for single maps and for families of mapstheorems which generalize results by Browder, Jachymski, Rhoades and Waiters, and others. A basic tool in our approach is the concept of commuting maps.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1998-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-581c9ebc026640febfe9ee3e271118922025-02-03T01:01:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121112513210.1155/S0161171298000167Fixed point theorems for semi-groups of self maps of semi-metric spacesG. Jungck0Department of Mathematics, Bradley University, Peoria 61625, IL, USAWe use selected semi-groups of self maps of a semi-metric space to obtain fixed point theorems for single maps and for families of mapstheorems which generalize results by Browder, Jachymski, Rhoades and Waiters, and others. A basic tool in our approach is the concept of commuting maps.http://dx.doi.org/10.1155/S0161171298000167Semi-metricsemi-groupcommuting mapsfixed points.
spellingShingle G. Jungck
Fixed point theorems for semi-groups of self maps of semi-metric spaces
International Journal of Mathematics and Mathematical Sciences
Semi-metric
semi-group
commuting maps
fixed points.
title Fixed point theorems for semi-groups of self maps of semi-metric spaces
title_full Fixed point theorems for semi-groups of self maps of semi-metric spaces
title_fullStr Fixed point theorems for semi-groups of self maps of semi-metric spaces
title_full_unstemmed Fixed point theorems for semi-groups of self maps of semi-metric spaces
title_short Fixed point theorems for semi-groups of self maps of semi-metric spaces
title_sort fixed point theorems for semi groups of self maps of semi metric spaces
topic Semi-metric
semi-group
commuting maps
fixed points.
url http://dx.doi.org/10.1155/S0161171298000167
work_keys_str_mv AT gjungck fixedpointtheoremsforsemigroupsofselfmapsofsemimetricspaces