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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Format: | Article |
Language: | English |
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Wiley
1998-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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Online Access: | http://dx.doi.org/10.1155/S0161171298000167 |
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_version_ | 1832567308102402048 |
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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. |
format | Article |
id | doaj-art-581c9ebc026640febfe9ee3e27111892 |
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 |