Some fixed point theorems in metric and 2-metric spaces

We introduce the notion of compatibility for a pair of self-maps on a 2-metric space and we have fixed point theorems for pairs as well as quadruples of self-maps on a 2-metric space satisfying certain generalised contraction conditions. Further metric space versions of the same have also been obtai...

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Main Author: S. Venkata Ratnam Naidu
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117120101064X
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author S. Venkata Ratnam Naidu
author_facet S. Venkata Ratnam Naidu
author_sort S. Venkata Ratnam Naidu
collection DOAJ
description We introduce the notion of compatibility for a pair of self-maps on a 2-metric space and we have fixed point theorems for pairs as well as quadruples of self-maps on a 2-metric space satisfying certain generalised contraction conditions. Further metric space versions of the same have also been obtained.
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1687-0425
language English
publishDate 2001-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-07642fc9b21d4d9d8a0161c7d5e6c0062025-08-20T02:02:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01281162563610.1155/S016117120101064XSome fixed point theorems in metric and 2-metric spacesS. Venkata Ratnam Naidu0Department of Applied Mathematics, Andhra University, Visakhapatnam 530003, IndiaWe introduce the notion of compatibility for a pair of self-maps on a 2-metric space and we have fixed point theorems for pairs as well as quadruples of self-maps on a 2-metric space satisfying certain generalised contraction conditions. Further metric space versions of the same have also been obtained.http://dx.doi.org/10.1155/S016117120101064X
spellingShingle S. Venkata Ratnam Naidu
Some fixed point theorems in metric and 2-metric spaces
International Journal of Mathematics and Mathematical Sciences
title Some fixed point theorems in metric and 2-metric spaces
title_full Some fixed point theorems in metric and 2-metric spaces
title_fullStr Some fixed point theorems in metric and 2-metric spaces
title_full_unstemmed Some fixed point theorems in metric and 2-metric spaces
title_short Some fixed point theorems in metric and 2-metric spaces
title_sort some fixed point theorems in metric and 2 metric spaces
url http://dx.doi.org/10.1155/S016117120101064X
work_keys_str_mv AT svenkataratnamnaidu somefixedpointtheoremsinmetricand2metricspaces