Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property

Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property

We introduce a new class of mappings satisfying the “common limit range property” in symmetric spaces and utilize the same to establish common fixed point theorems for such mappings in symmetric spaces. Our results generalize and improve some recent results contained in the literature of metric fixe...

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Main Authors: E. Karapınar, D. K. Patel, M. Imdad, D. Gopal
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2013/753965
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spelling doaj-4b28d0a3c75a41deb0344f6e0ec1b3362020-11-24T20:54:10ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/753965753965Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through PropertyE. Karapınar0D. K. Patel1M. Imdad2D. Gopal3Department of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyDepartment of Mathematics and Humanities, S. V. National Institute of Technology, Surat, Gujarat 395 007, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202 002, IndiaDepartment of Mathematics and Humanities, S. V. National Institute of Technology, Surat, Gujarat 395 007, IndiaWe introduce a new class of mappings satisfying the “common limit range property” in symmetric spaces and utilize the same to establish common fixed point theorems for such mappings in symmetric spaces. Our results generalize and improve some recent results contained in the literature of metric fixed point theory. Some illustrative examples to highlight the realized improvements are also furnished.http://dx.doi.org/10.1155/2013/753965
collection DOAJ
language English
format Article
sources DOAJ
author E. Karapınar
D. K. Patel
M. Imdad
D. Gopal
spellingShingle E. Karapınar
D. K. Patel
M. Imdad
D. Gopal
Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property
International Journal of Mathematics and Mathematical Sciences
author_facet E. Karapınar
D. K. Patel
M. Imdad
D. Gopal
author_sort E. Karapınar
title Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property
title_short Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property
title_full Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property
title_fullStr Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property
title_full_unstemmed Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property
title_sort some nonunique common fixed point theorems in symmetric spaces through property
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2013-01-01
description We introduce a new class of mappings satisfying the “common limit range property” in symmetric spaces and utilize the same to establish common fixed point theorems for such mappings in symmetric spaces. Our results generalize and improve some recent results contained in the literature of metric fixed point theory. Some illustrative examples to highlight the realized improvements are also furnished.
url http://dx.doi.org/10.1155/2013/753965
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AT dkpatel somenonuniquecommonfixedpointtheoremsinsymmetricspacesthroughproperty
AT mimdad somenonuniquecommonfixedpointtheoremsinsymmetricspacesthroughproperty
AT dgopal somenonuniquecommonfixedpointtheoremsinsymmetricspacesthroughproperty
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