A Hybrid Common Fixed Point Theorem under Certain Recent Properties

We prove a common fixed point theorem for a hybrid pair of occasionally coincidentally idempotent mappings via common limit range property. Our result improves some results from the existing literature, especially the ones contained in Sintunavarat and Kumam (2009). Some illustrative and interesting...

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Main Authors: Zoran Kadelburg, Sunny Chauhan, Mohammad Imdad
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/860436
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author Zoran Kadelburg
Sunny Chauhan
Mohammad Imdad
author_facet Zoran Kadelburg
Sunny Chauhan
Mohammad Imdad
author_sort Zoran Kadelburg
collection DOAJ
description We prove a common fixed point theorem for a hybrid pair of occasionally coincidentally idempotent mappings via common limit range property. Our result improves some results from the existing literature, especially the ones contained in Sintunavarat and Kumam (2009). Some illustrative and interesting examples to highlight the realized improvements are also furnished.
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institution Kabale University
issn 2356-6140
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language English
publishDate 2014-01-01
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spelling doaj-art-c507779f1feb42c28f36e9cc5e32a1882025-02-03T01:21:52ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/860436860436A Hybrid Common Fixed Point Theorem under Certain Recent PropertiesZoran Kadelburg0Sunny Chauhan1Mohammad Imdad2Faculty of Mathematics, University of Belgrade, Studentski Trg 16, 11000 Beograd, SerbiaR. H. Government Postgraduate College, Kashipur, Uttarakhand 244713, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202 002, IndiaWe prove a common fixed point theorem for a hybrid pair of occasionally coincidentally idempotent mappings via common limit range property. Our result improves some results from the existing literature, especially the ones contained in Sintunavarat and Kumam (2009). Some illustrative and interesting examples to highlight the realized improvements are also furnished.http://dx.doi.org/10.1155/2014/860436
spellingShingle Zoran Kadelburg
Sunny Chauhan
Mohammad Imdad
A Hybrid Common Fixed Point Theorem under Certain Recent Properties
The Scientific World Journal
title A Hybrid Common Fixed Point Theorem under Certain Recent Properties
title_full A Hybrid Common Fixed Point Theorem under Certain Recent Properties
title_fullStr A Hybrid Common Fixed Point Theorem under Certain Recent Properties
title_full_unstemmed A Hybrid Common Fixed Point Theorem under Certain Recent Properties
title_short A Hybrid Common Fixed Point Theorem under Certain Recent Properties
title_sort hybrid common fixed point theorem under certain recent properties
url http://dx.doi.org/10.1155/2014/860436
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