Fixed Point Theorems via Auxiliary Functions

We prove new fixed point theorems in the framework of partially ordered metric spaces. The main result is an extension and a generalization of many existing results in the literature. An example is also considered to illustrate the main result.

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Main Authors: Erdal Karapınar, Peyman Salimi
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/792174
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author Erdal Karapınar
Peyman Salimi
author_facet Erdal Karapınar
Peyman Salimi
author_sort Erdal Karapınar
collection DOAJ
description We prove new fixed point theorems in the framework of partially ordered metric spaces. The main result is an extension and a generalization of many existing results in the literature. An example is also considered to illustrate the main result.
format Article
id doaj-art-de7fd02cb34d41d0a3cc444f83b542f7
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-de7fd02cb34d41d0a3cc444f83b542f72025-02-03T01:09:27ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/792174792174Fixed Point Theorems via Auxiliary FunctionsErdal Karapınar0Peyman Salimi1Department of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyDepartment of Mathematics, Sahand University of Technology, Tabriz, IranWe prove new fixed point theorems in the framework of partially ordered metric spaces. The main result is an extension and a generalization of many existing results in the literature. An example is also considered to illustrate the main result.http://dx.doi.org/10.1155/2012/792174
spellingShingle Erdal Karapınar
Peyman Salimi
Fixed Point Theorems via Auxiliary Functions
Journal of Applied Mathematics
title Fixed Point Theorems via Auxiliary Functions
title_full Fixed Point Theorems via Auxiliary Functions
title_fullStr Fixed Point Theorems via Auxiliary Functions
title_full_unstemmed Fixed Point Theorems via Auxiliary Functions
title_short Fixed Point Theorems via Auxiliary Functions
title_sort fixed point theorems via auxiliary functions
url http://dx.doi.org/10.1155/2012/792174
work_keys_str_mv AT erdalkarapınar fixedpointtheoremsviaauxiliaryfunctions
AT peymansalimi fixedpointtheoremsviaauxiliaryfunctions