A general existence principle for fixed point theorems in D-metric spaces

We establish two general principles for fixed point theorems in D-metric spaces, and then show that several theorems in D-metric spaces follow as corollaries of these general principles.

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Main Authors: B. C. Dhage, A. M. Pathan, B. E. Rhoades
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171200001587
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author B. C. Dhage
A. M. Pathan
B. E. Rhoades
author_facet B. C. Dhage
A. M. Pathan
B. E. Rhoades
author_sort B. C. Dhage
collection DOAJ
description We establish two general principles for fixed point theorems in D-metric spaces, and then show that several theorems in D-metric spaces follow as corollaries of these general principles.
format Article
id doaj-art-740d26ea8a6c4d1b9e200086b82b20bb
institution OA Journals
issn 0161-1712
1687-0425
language English
publishDate 2000-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-740d26ea8a6c4d1b9e200086b82b20bb2025-08-20T02:06:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123744144810.1155/S0161171200001587A general existence principle for fixed point theorems in D-metric spacesB. C. Dhage0A. M. Pathan1B. E. Rhoades2Mathematical Research Centre, Mahatma Gandhi Mahavidyalaya, Ahmedpur 413 515, IndiaMathematical Research Centre, Mahatma Gandhi Mahavidyalaya, Ahmedpur 413 515, IndiaDepartment of Mathematics, Indiana University, Bloomington 47405-4301, Indiana, USAWe establish two general principles for fixed point theorems in D-metric spaces, and then show that several theorems in D-metric spaces follow as corollaries of these general principles.http://dx.doi.org/10.1155/S0161171200001587α-condensing mapsD-metric spacesfixed point theorems.
spellingShingle B. C. Dhage
A. M. Pathan
B. E. Rhoades
A general existence principle for fixed point theorems in D-metric spaces
International Journal of Mathematics and Mathematical Sciences
α-condensing maps
D-metric spaces
fixed point theorems.
title A general existence principle for fixed point theorems in D-metric spaces
title_full A general existence principle for fixed point theorems in D-metric spaces
title_fullStr A general existence principle for fixed point theorems in D-metric spaces
title_full_unstemmed A general existence principle for fixed point theorems in D-metric spaces
title_short A general existence principle for fixed point theorems in D-metric spaces
title_sort general existence principle for fixed point theorems in d metric spaces
topic α-condensing maps
D-metric spaces
fixed point theorems.
url http://dx.doi.org/10.1155/S0161171200001587
work_keys_str_mv AT bcdhage ageneralexistenceprincipleforfixedpointtheoremsindmetricspaces
AT ampathan ageneralexistenceprincipleforfixedpointtheoremsindmetricspaces
AT berhoades ageneralexistenceprincipleforfixedpointtheoremsindmetricspaces
AT bcdhage generalexistenceprincipleforfixedpointtheoremsindmetricspaces
AT ampathan generalexistenceprincipleforfixedpointtheoremsindmetricspaces
AT berhoades generalexistenceprincipleforfixedpointtheoremsindmetricspaces