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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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2013/753965 |
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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 |
work_keys_str_mv |
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1716795349864022016 |