Fixed Points of -Type Quasi-Contractions on Graphs

Recently, fixed point theory on graphs has been considered by many authors. In this paper, by combining some ideas in some published papers and introducing -type quasi-contractions, we give some fixed point results for -type quasi-contractions on graphs. The results improve some old results in the l...

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Main Authors: R. H. Haghi, Sh. Rezapour, N. Shahzad
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/167530
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author R. H. Haghi
Sh. Rezapour
N. Shahzad
author_facet R. H. Haghi
Sh. Rezapour
N. Shahzad
author_sort R. H. Haghi
collection DOAJ
description Recently, fixed point theory on graphs has been considered by many authors. In this paper, by combining some ideas in some published papers and introducing -type quasi-contractions, we give some fixed point results for -type quasi-contractions on graphs. The results improve some old results in the literature.
format Article
id doaj-art-615a97b647b14c87b6f29965e17c8a4e
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-615a97b647b14c87b6f29965e17c8a4e2025-02-03T07:24:20ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/167530167530Fixed Points of -Type Quasi-Contractions on GraphsR. H. Haghi0Sh. Rezapour1N. Shahzad2Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, IranDepartment of Mathematics, Azarbaijan Shahid Madani University, Azarshahr, Tabriz, IranDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21859, Saudi ArabiaRecently, fixed point theory on graphs has been considered by many authors. In this paper, by combining some ideas in some published papers and introducing -type quasi-contractions, we give some fixed point results for -type quasi-contractions on graphs. The results improve some old results in the literature.http://dx.doi.org/10.1155/2013/167530
spellingShingle R. H. Haghi
Sh. Rezapour
N. Shahzad
Fixed Points of -Type Quasi-Contractions on Graphs
Abstract and Applied Analysis
title Fixed Points of -Type Quasi-Contractions on Graphs
title_full Fixed Points of -Type Quasi-Contractions on Graphs
title_fullStr Fixed Points of -Type Quasi-Contractions on Graphs
title_full_unstemmed Fixed Points of -Type Quasi-Contractions on Graphs
title_short Fixed Points of -Type Quasi-Contractions on Graphs
title_sort fixed points of type quasi contractions on graphs
url http://dx.doi.org/10.1155/2013/167530
work_keys_str_mv AT rhhaghi fixedpointsoftypequasicontractionsongraphs
AT shrezapour fixedpointsoftypequasicontractionsongraphs
AT nshahzad fixedpointsoftypequasicontractionsongraphs