Suzuki ψF-contractions and some fixed point results

The purpose of this paper is to combine and extend some recent fixed point results of Suzuki, T., [A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313–5317] and Secelean, N. A. & Wardowski, D., [ψF-contractions: not necessarily nonexpansive Picard operators, Resu...

Full description

Saved in:
Bibliographic Details
Published in:Carpathian Journal of Mathematics 2018, Vol.34 (1), p.93-102
Main Author: SECELEAN, NICOLAE-ADRIAN
Format: Article
Language:English
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page 102
container_issue 1
container_start_page 93
container_title Carpathian Journal of Mathematics
container_volume 34
creator SECELEAN, NICOLAE-ADRIAN
description The purpose of this paper is to combine and extend some recent fixed point results of Suzuki, T., [A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313–5317] and Secelean, N. A. & Wardowski, D., [ψF-contractions: not necessarily nonexpansive Picard operators, Results Math., 70 (2016), 415–431]. The continuity and the completeness conditions are replaced by orbitally continuity and orbitally completeness respectively. It is given an illustrative example of a Picard operator on a non complete metric space which is neither nonexpansive nor expansive and has a unique continuity point.
doi_str_mv 10.37193/CJM.2018.01.10
format article
fullrecord <record><control><sourceid>crossref</sourceid><recordid>TN_cdi_crossref_primary_10_37193_CJM_2018_01_10</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_37193_CJM_2018_01_10</sourcerecordid><originalsourceid>FETCH-LOGICAL-c236t-55d6871fc8f805659aaa1719b3d109488f47b9f32d47e228a60bfe7e843e90723</originalsourceid><addsrcrecordid>eNotj0tOwzAYhC0EElXpmq0v4PT__YjtJYooUBWxANaWk9hSoE2qOJGAE3A7roR5rGY0Go3mI-QSoRAarVhX2_uCA5oCsEA4IQs0UjApAU-zV0YybhSek1VKLwC5aMCKckHk4_wxv3b063PDmqGfRt9M3dAn6vuWpuEQaOzeQkuPQ9dPdAxp3k_pgpxFv09h9a9L8ry5fqpu2e7h5q662rGGi3JiSrWl0RgbEw2oUlnvPea3tWgRrDQmSl3bKHgrdeDc-BLqGHTIz4MFzcWSrP92m3FIaQzRHcfu4Md3h-B-uV3mdj_cDjCH4hsSZkpl</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Suzuki ψF-contractions and some fixed point results</title><source>JSTOR Archival Journals and Primary Sources Collection</source><creator>SECELEAN, NICOLAE-ADRIAN</creator><creatorcontrib>SECELEAN, NICOLAE-ADRIAN ; DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCES LUCIAN BLAGA UNIVERSITY OF SIBIU STR. DR. IOAN RATIU NO. 5-7, 550012 SIBIU, ROMANIA E-mail address: nicolae.secelean@ulbsibiu.ro</creatorcontrib><description>The purpose of this paper is to combine and extend some recent fixed point results of Suzuki, T., [A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313–5317] and Secelean, N. A. &amp; Wardowski, D., [ψF-contractions: not necessarily nonexpansive Picard operators, Results Math., 70 (2016), 415–431]. The continuity and the completeness conditions are replaced by orbitally continuity and orbitally completeness respectively. It is given an illustrative example of a Picard operator on a non complete metric space which is neither nonexpansive nor expansive and has a unique continuity point.</description><identifier>ISSN: 1584-2851</identifier><identifier>EISSN: 1843-4401</identifier><identifier>DOI: 10.37193/CJM.2018.01.10</identifier><language>eng</language><ispartof>Carpathian Journal of Mathematics, 2018, Vol.34 (1), p.93-102</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,4024,27923,27924,27925</link.rule.ids></links><search><creatorcontrib>SECELEAN, NICOLAE-ADRIAN</creatorcontrib><creatorcontrib>DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCES LUCIAN BLAGA UNIVERSITY OF SIBIU STR. DR. IOAN RATIU NO. 5-7, 550012 SIBIU, ROMANIA E-mail address: nicolae.secelean@ulbsibiu.ro</creatorcontrib><title>Suzuki ψF-contractions and some fixed point results</title><title>Carpathian Journal of Mathematics</title><description>The purpose of this paper is to combine and extend some recent fixed point results of Suzuki, T., [A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313–5317] and Secelean, N. A. &amp; Wardowski, D., [ψF-contractions: not necessarily nonexpansive Picard operators, Results Math., 70 (2016), 415–431]. The continuity and the completeness conditions are replaced by orbitally continuity and orbitally completeness respectively. It is given an illustrative example of a Picard operator on a non complete metric space which is neither nonexpansive nor expansive and has a unique continuity point.</description><issn>1584-2851</issn><issn>1843-4401</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNotj0tOwzAYhC0EElXpmq0v4PT__YjtJYooUBWxANaWk9hSoE2qOJGAE3A7roR5rGY0Go3mI-QSoRAarVhX2_uCA5oCsEA4IQs0UjApAU-zV0YybhSek1VKLwC5aMCKckHk4_wxv3b063PDmqGfRt9M3dAn6vuWpuEQaOzeQkuPQ9dPdAxp3k_pgpxFv09h9a9L8ry5fqpu2e7h5q662rGGi3JiSrWl0RgbEw2oUlnvPea3tWgRrDQmSl3bKHgrdeDc-BLqGHTIz4MFzcWSrP92m3FIaQzRHcfu4Md3h-B-uV3mdj_cDjCH4hsSZkpl</recordid><startdate>2018</startdate><enddate>2018</enddate><creator>SECELEAN, NICOLAE-ADRIAN</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>2018</creationdate><title>Suzuki ψF-contractions and some fixed point results</title><author>SECELEAN, NICOLAE-ADRIAN</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c236t-55d6871fc8f805659aaa1719b3d109488f47b9f32d47e228a60bfe7e843e90723</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>SECELEAN, NICOLAE-ADRIAN</creatorcontrib><creatorcontrib>DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCES LUCIAN BLAGA UNIVERSITY OF SIBIU STR. DR. IOAN RATIU NO. 5-7, 550012 SIBIU, ROMANIA E-mail address: nicolae.secelean@ulbsibiu.ro</creatorcontrib><collection>CrossRef</collection><jtitle>Carpathian Journal of Mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>SECELEAN, NICOLAE-ADRIAN</au><aucorp>DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCES LUCIAN BLAGA UNIVERSITY OF SIBIU STR. DR. IOAN RATIU NO. 5-7, 550012 SIBIU, ROMANIA E-mail address: nicolae.secelean@ulbsibiu.ro</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Suzuki ψF-contractions and some fixed point results</atitle><jtitle>Carpathian Journal of Mathematics</jtitle><date>2018</date><risdate>2018</risdate><volume>34</volume><issue>1</issue><spage>93</spage><epage>102</epage><pages>93-102</pages><issn>1584-2851</issn><eissn>1843-4401</eissn><abstract>The purpose of this paper is to combine and extend some recent fixed point results of Suzuki, T., [A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313–5317] and Secelean, N. A. &amp; Wardowski, D., [ψF-contractions: not necessarily nonexpansive Picard operators, Results Math., 70 (2016), 415–431]. The continuity and the completeness conditions are replaced by orbitally continuity and orbitally completeness respectively. It is given an illustrative example of a Picard operator on a non complete metric space which is neither nonexpansive nor expansive and has a unique continuity point.</abstract><doi>10.37193/CJM.2018.01.10</doi><tpages>10</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1584-2851
ispartof Carpathian Journal of Mathematics, 2018, Vol.34 (1), p.93-102
issn 1584-2851
1843-4401
language eng
recordid cdi_crossref_primary_10_37193_CJM_2018_01_10
source JSTOR Archival Journals and Primary Sources Collection
title Suzuki ψF-contractions and some fixed point results
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-06T01%3A04%3A05IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Suzuki%20%CF%88F-contractions%20and%20some%20fixed%20point%20results&rft.jtitle=Carpathian%20Journal%20of%20Mathematics&rft.au=SECELEAN,%20NICOLAE-ADRIAN&rft.aucorp=DEPARTMENT%20OF%20MATHEMATICS%20AND%20COMPUTER%20SCIENCES%20LUCIAN%20BLAGA%20UNIVERSITY%20OF%20SIBIU%20STR.%20DR.%20IOAN%20RATIU%20NO.%205-7,%20550012%20SIBIU,%20ROMANIA%20E-mail%20address:%20nicolae.secelean@ulbsibiu.ro&rft.date=2018&rft.volume=34&rft.issue=1&rft.spage=93&rft.epage=102&rft.pages=93-102&rft.issn=1584-2851&rft.eissn=1843-4401&rft_id=info:doi/10.37193/CJM.2018.01.10&rft_dat=%3Ccrossref%3E10_37193_CJM_2018_01_10%3C/crossref%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c236t-55d6871fc8f805659aaa1719b3d109488f47b9f32d47e228a60bfe7e843e90723%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true