Fixed Point and Tripled Fixed Point Theorems under Pata-Type Conditions in Ordered Metric Spaces

Fixed Point and Tripled Fixed Point Theorems under Pata-Type Conditions in Ordered Metric Spaces

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In this paper, we first prove a version of the fixed point theorem obtained in [V. Pata, A fixed point theorem in metric spaces, J. Fixed Point Theory Appl. 10 (2011) 299–305], adjusted for monotone mappings in ordered metric spaces, as well as some generalizations. Then we apply them to obtain resu...

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Main Authors: Zoran Kadelburg, Stojan Radenovic
Format: Article
Language:English
Published: Etamaths Publishing 2014-08-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/392
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spelling doaj-c97c97c535254a1c86b1449c7f7972732021-08-26T13:44:36ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392014-08-016111312295Fixed Point and Tripled Fixed Point Theorems under Pata-Type Conditions in Ordered Metric SpacesZoran Kadelburg0Stojan Radenovic1University of Belgrade Faculty of MathematicsUniversity of Belgrade Faculty of Mechanical EngineeringIn this paper, we first prove a version of the fixed point theorem obtained in [V. Pata, A fixed point theorem in metric spaces, J. Fixed Point Theory Appl. 10 (2011) 299–305], adjusted for monotone mappings in ordered metric spaces, as well as some generalizations. Then we apply them to obtain results of this type for tripled fixed points in two cases—for monotone and mixed-monotone mappings with three variables. An example is given to show the difference between some of these results.http://etamaths.com/index.php/ijaa/article/view/392
collection DOAJ
language English
format Article
sources DOAJ
author Zoran Kadelburg
Stojan Radenovic
spellingShingle Zoran Kadelburg
Stojan Radenovic
Fixed Point and Tripled Fixed Point Theorems under Pata-Type Conditions in Ordered Metric Spaces
International Journal of Analysis and Applications
author_facet Zoran Kadelburg
Stojan Radenovic
author_sort Zoran Kadelburg
title Fixed Point and Tripled Fixed Point Theorems under Pata-Type Conditions in Ordered Metric Spaces
title_short Fixed Point and Tripled Fixed Point Theorems under Pata-Type Conditions in Ordered Metric Spaces
title_full Fixed Point and Tripled Fixed Point Theorems under Pata-Type Conditions in Ordered Metric Spaces
title_fullStr Fixed Point and Tripled Fixed Point Theorems under Pata-Type Conditions in Ordered Metric Spaces
title_full_unstemmed Fixed Point and Tripled Fixed Point Theorems under Pata-Type Conditions in Ordered Metric Spaces
title_sort fixed point and tripled fixed point theorems under pata-type conditions in ordered metric spaces
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2014-08-01
description In this paper, we first prove a version of the fixed point theorem obtained in [V. Pata, A fixed point theorem in metric spaces, J. Fixed Point Theory Appl. 10 (2011) 299–305], adjusted for monotone mappings in ordered metric spaces, as well as some generalizations. Then we apply them to obtain results of this type for tripled fixed points in two cases—for monotone and mixed-monotone mappings with three variables. An example is given to show the difference between some of these results.
url http://etamaths.com/index.php/ijaa/article/view/392
work_keys_str_mv AT zorankadelburg fixedpointandtripledfixedpointtheoremsunderpatatypeconditionsinorderedmetricspaces
AT stojanradenovic fixedpointandtripledfixedpointtheoremsunderpatatypeconditionsinorderedmetricspaces
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