Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators

The purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators defined on cyclic representations of the space. The approach is based on fixed point results for appropriate operators generated...

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Main Author: Adrian Magdaş
Format: Article
Language:English
Published: Emerald Publishing 2020-08-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2019.05.002/full/pdf
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author Adrian Magdaş
author_facet Adrian Magdaş
author_sort Adrian Magdaş
collection DOAJ
description The purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators defined on cyclic representations of the space. The approach is based on fixed point results for appropriate operators generated by the initial problems.
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spelling doaj.art-ef59eb9bb9694eb69587717b50f43ce82023-06-30T09:27:54ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662588-92142020-08-01261/217919610.1016/j.ajmsc.2019.05.002Coupled fixed points and coupled best proximity points for cyclic Ćirić type operatorsAdrian Magdaş0Faculty of Mathematics and Computer Science, Babeş Bolyai University, Cluj-Napoca, RomaniaThe purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators defined on cyclic representations of the space. The approach is based on fixed point results for appropriate operators generated by the initial problems.https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2019.05.002/full/pdfMetric spaceSingle-valued operatorMulti-valued operatorFixed pointCoupled fixed pointBest proximity point
spellingShingle Adrian Magdaş
Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators
Arab Journal of Mathematical Sciences
Metric space
Single-valued operator
Multi-valued operator
Fixed point
Coupled fixed point
Best proximity point
title Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators
title_full Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators
title_fullStr Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators
title_full_unstemmed Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators
title_short Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators
title_sort coupled fixed points and coupled best proximity points for cyclic ciric type operators
topic Metric space
Single-valued operator
Multi-valued operator
Fixed point
Coupled fixed point
Best proximity point
url https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2019.05.002/full/pdf
work_keys_str_mv AT adrianmagdas coupledfixedpointsandcoupledbestproximitypointsforcycliccirictypeoperators