On Some Generalizations of Commuting Mappings

It is shown that occasionally JH operators as well as occasionally weakly biased mappings reduce to weakly compatible mappings in the presence of a unique point of coincidence (and a unique common fixed point) of the given maps.

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Main Authors: Mohammad Ali Alghamdi, Stojan Radenović, Naseer Shahzad
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/952052
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author Mohammad Ali Alghamdi
Stojan Radenović
Naseer Shahzad
author_facet Mohammad Ali Alghamdi
Stojan Radenović
Naseer Shahzad
author_sort Mohammad Ali Alghamdi
collection DOAJ
description It is shown that occasionally JH operators as well as occasionally weakly biased mappings reduce to weakly compatible mappings in the presence of a unique point of coincidence (and a unique common fixed point) of the given maps.
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institution Kabale University
issn 1085-3375
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publishDate 2012-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-556fb22415224c17bd640ea63c5898f12025-02-03T01:01:07ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/952052952052On Some Generalizations of Commuting MappingsMohammad Ali Alghamdi0Stojan Radenović1Naseer Shahzad2Department of Mathematics, King AbdulAziz University, P.O. Box 80203, Jeddah 21859, Saudi ArabiaFaculty of Mechanical Engineering, Kraljice Marije 16, 11 120 Beograd, SerbiaDepartment of Mathematics, King AbdulAziz University, P.O. Box 80203, Jeddah 21859, Saudi ArabiaIt is shown that occasionally JH operators as well as occasionally weakly biased mappings reduce to weakly compatible mappings in the presence of a unique point of coincidence (and a unique common fixed point) of the given maps.http://dx.doi.org/10.1155/2012/952052
spellingShingle Mohammad Ali Alghamdi
Stojan Radenović
Naseer Shahzad
On Some Generalizations of Commuting Mappings
Abstract and Applied Analysis
title On Some Generalizations of Commuting Mappings
title_full On Some Generalizations of Commuting Mappings
title_fullStr On Some Generalizations of Commuting Mappings
title_full_unstemmed On Some Generalizations of Commuting Mappings
title_short On Some Generalizations of Commuting Mappings
title_sort on some generalizations of commuting mappings
url http://dx.doi.org/10.1155/2012/952052
work_keys_str_mv AT mohammadalialghamdi onsomegeneralizationsofcommutingmappings
AT stojanradenovic onsomegeneralizationsofcommutingmappings
AT naseershahzad onsomegeneralizationsofcommutingmappings