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.

Bibliographic Details
Main Authors: Erdal Karapınar, Peyman Salimi
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/792174
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spelling doaj-de7fd02cb34d41d0a3cc444f83b542f72020-11-25T00:49:20ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Erdal Karapınar
Peyman Salimi
spellingShingle Erdal Karapınar
Peyman Salimi
Fixed Point Theorems via Auxiliary Functions
Journal of Applied Mathematics
author_facet Erdal Karapınar
Peyman Salimi
author_sort Erdal Karapınar
title Fixed Point Theorems via Auxiliary Functions
title_short 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_sort fixed point theorems via auxiliary functions
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
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.
url http://dx.doi.org/10.1155/2012/792174
work_keys_str_mv AT erdalkarapınar fixedpointtheoremsviaauxiliaryfunctions
AT peymansalimi fixedpointtheoremsviaauxiliaryfunctions
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