Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results

Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results

First, we define cyclic (ϕ)-contractions of different types in a uniform space. Then, we apply these concepts of cyclic (ϕ)-contractions to establish certain fixed and common point theorems on a Hausdorff uniform space. Some more general results are obtained as corollaries. Moreover, some examples a...

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Main Authors: N. Hussain, E. Karapınar, S. Sedghi, N. Shobkolaei, S. Firouzian
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/976859
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spelling doaj-6e3947c7e79c4bc791871524fc0169eb2020-11-24T22:39:46ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/976859976859Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point ResultsN. Hussain0E. Karapınar1S. Sedghi2N. Shobkolaei3S. Firouzian4Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Atilim University, İncek, 06836 Ankara, TurkeyDepartment of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, IranDepartment of Mathematics, Babol Branch, Islamic Azad University, Babol, IranPayame Noor University, Babol, IranFirst, we define cyclic (ϕ)-contractions of different types in a uniform space. Then, we apply these concepts of cyclic (ϕ)-contractions to establish certain fixed and common point theorems on a Hausdorff uniform space. Some more general results are obtained as corollaries. Moreover, some examples are provided to demonstrate the usability of the proved theorems.http://dx.doi.org/10.1155/2014/976859
collection DOAJ
language English
format Article
sources DOAJ
author N. Hussain
E. Karapınar
S. Sedghi
N. Shobkolaei
S. Firouzian
spellingShingle N. Hussain
E. Karapınar
S. Sedghi
N. Shobkolaei
S. Firouzian
Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results
Abstract and Applied Analysis
author_facet N. Hussain
E. Karapınar
S. Sedghi
N. Shobkolaei
S. Firouzian
author_sort N. Hussain
title Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results
title_short Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results
title_full Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results
title_fullStr Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results
title_full_unstemmed Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results
title_sort cyclic (ϕ)-contractions in uniform spaces and related fixed point results
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description First, we define cyclic (ϕ)-contractions of different types in a uniform space. Then, we apply these concepts of cyclic (ϕ)-contractions to establish certain fixed and common point theorems on a Hausdorff uniform space. Some more general results are obtained as corollaries. Moreover, some examples are provided to demonstrate the usability of the proved theorems.
url http://dx.doi.org/10.1155/2014/976859
work_keys_str_mv AT nhussain cyclicphcontractionsinuniformspacesandrelatedfixedpointresults
AT ekarapınar cyclicphcontractionsinuniformspacesandrelatedfixedpointresults
AT ssedghi cyclicphcontractionsinuniformspacesandrelatedfixedpointresults
AT nshobkolaei cyclicphcontractionsinuniformspacesandrelatedfixedpointresults
AT sfirouzian cyclicphcontractionsinuniformspacesandrelatedfixedpointresults
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