Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces

Fixed point theorems for mappings satisfying Geraghty-type contractive conditions are proved in the frame of partial metric spaces, ordered partial metric spaces, and metric-type spaces. Examples are given showing that these results are proper extensions of the existing ones.

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Main Authors: Dušan Ðukić, Zoran Kadelburg, Stojan Radenović
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/561245
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author Dušan Ðukić
Zoran Kadelburg
Stojan Radenović
author_facet Dušan Ðukić
Zoran Kadelburg
Stojan Radenović
author_sort Dušan Ðukić
collection DOAJ
description Fixed point theorems for mappings satisfying Geraghty-type contractive conditions are proved in the frame of partial metric spaces, ordered partial metric spaces, and metric-type spaces. Examples are given showing that these results are proper extensions of the existing ones.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2011-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-11e6fcec12224739b0e9fc8fc1b4efd12025-02-03T01:26:10ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/561245561245Fixed Points of Geraghty-Type Mappings in Various Generalized Metric SpacesDušan Ðukić0Zoran Kadelburg1Stojan Radenović2Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, SerbiaFaculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, SerbiaFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, SerbiaFixed point theorems for mappings satisfying Geraghty-type contractive conditions are proved in the frame of partial metric spaces, ordered partial metric spaces, and metric-type spaces. Examples are given showing that these results are proper extensions of the existing ones.http://dx.doi.org/10.1155/2011/561245
spellingShingle Dušan Ðukić
Zoran Kadelburg
Stojan Radenović
Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces
Abstract and Applied Analysis
title Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces
title_full Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces
title_fullStr Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces
title_full_unstemmed Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces
title_short Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces
title_sort fixed points of geraghty type mappings in various generalized metric spaces
url http://dx.doi.org/10.1155/2011/561245
work_keys_str_mv AT dusanðukic fixedpointsofgeraghtytypemappingsinvariousgeneralizedmetricspaces
AT zorankadelburg fixedpointsofgeraghtytypemappingsinvariousgeneralizedmetricspaces
AT stojanradenovic fixedpointsofgeraghtytypemappingsinvariousgeneralizedmetricspaces