A Note on Caristi-Type Cyclic Maps: Related Results and Applications

dc.authorid KARAPINAR, ERDAL/0000-0002-6798-3254
dc.authorscopusid 27169183500
dc.authorscopusid 16678995500
dc.authorwosid KARAPINAR, ERDAL/H-3177-2011
dc.contributor.author Du, Wei-Shih
dc.contributor.author Karapinar, Erdal
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T14:26:08Z
dc.date.available 2024-07-05T14:26:08Z
dc.date.issued 2013
dc.department Atılım University en_US
dc.department-temp [Du, Wei-Shih] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 824, Taiwan; [Karapinar, Erdal] Atilim Univ, Dept Math, Ankara, Turkey en_US
dc.description KARAPINAR, ERDAL/0000-0002-6798-3254 en_US
dc.description.abstract In this note, we first introduce the concept of Caristi-type cyclic map and present a new convergence theorem and a best proximity point theorem for Caristi-type cyclic maps. It should be mentioned that in our results, the dominated functions need not possess the lower semicontinuity property. Some best proximity point results and convergence theorems in the literature have been derived from our main results. Consequently, the presented results improve, extend and generalize some of the existence results on the topic. en_US
dc.description.sponsorship National Science Council of the Republic of China [NSC 102-2115-M-017-001] en_US
dc.description.sponsorship The first author was supported by Grant No. NSC 102-2115-M-017-001 of the National Science Council of the Republic of China. en_US
dc.identifier.citationcount 13
dc.identifier.doi 10.1186/1687-1812-2013-344
dc.identifier.issn 1687-1812
dc.identifier.scopus 2-s2.0-84896460341
dc.identifier.uri https://doi.org/10.1186/1687-1812-2013-344
dc.identifier.uri https://hdl.handle.net/20.500.14411/106
dc.identifier.wos WOS:000209289900001
dc.institutionauthor Karapınar, Erdal
dc.language.iso en en_US
dc.publisher Springer international Publishing Ag en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 19
dc.subject best proximity point en_US
dc.subject Caristi-type cyclic map en_US
dc.subject MT-function (R-function) en_US
dc.subject MT-cyclic contraction en_US
dc.subject Caristi-type fixed point theorem en_US
dc.title A Note on Caristi-Type Cyclic Maps: Related Results and Applications en_US
dc.type Article en_US
dc.wos.citedbyCount 13
dspace.entity.type Publication
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