A common fixed point theorem of Meir and Keeler type

In this paper, we introduce the concept of compatible mappings of type (A) on a metric space, which is equivalent to the concept of compatible mappings under some conditions, and give a common fixed point theorem of Meir and Keeler type. Our result extends, generalized and improves some results of M...

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Main Authors: Y. J. Cho, P. P. Murthy, G. Jungck
Format: Article
Language:English
Published: Wiley 1993-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171293000833
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author Y. J. Cho
P. P. Murthy
G. Jungck
author_facet Y. J. Cho
P. P. Murthy
G. Jungck
author_sort Y. J. Cho
collection DOAJ
description In this paper, we introduce the concept of compatible mappings of type (A) on a metric space, which is equivalent to the concept of compatible mappings under some conditions, and give a common fixed point theorem of Meir and Keeler type. Our result extends, generalized and improves some results of Meir-Keeler, Park-Bae, Park-Rhoades, Pant and Rao-Rao, etc.
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 1993-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-070ee27013f84a74a6d95f985cb435352025-02-03T01:30:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116466967410.1155/S0161171293000833A common fixed point theorem of Meir and Keeler typeY. J. Cho0P. P. Murthy1G. Jungck2Department of Mathematics, Gyeongsang National University, Jinju 660-701, KoreaBalajee Guest House, Street-37, Sector-5, Bhilai (M.P.) 490 006, IndiaDepartment of Mathematics, Bradley University, Peoria, Illinois 61625, USAIn this paper, we introduce the concept of compatible mappings of type (A) on a metric space, which is equivalent to the concept of compatible mappings under some conditions, and give a common fixed point theorem of Meir and Keeler type. Our result extends, generalized and improves some results of Meir-Keeler, Park-Bae, Park-Rhoades, Pant and Rao-Rao, etc.http://dx.doi.org/10.1155/S0161171293000833
spellingShingle Y. J. Cho
P. P. Murthy
G. Jungck
A common fixed point theorem of Meir and Keeler type
International Journal of Mathematics and Mathematical Sciences
title A common fixed point theorem of Meir and Keeler type
title_full A common fixed point theorem of Meir and Keeler type
title_fullStr A common fixed point theorem of Meir and Keeler type
title_full_unstemmed A common fixed point theorem of Meir and Keeler type
title_short A common fixed point theorem of Meir and Keeler type
title_sort common fixed point theorem of meir and keeler type
url http://dx.doi.org/10.1155/S0161171293000833
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