Coupled fixed point theorems in cone metric spaces with a <i>c</i>-distance and applications

dc.contributor.author Karapinar, Erdal
dc.contributor.author Kumam, Poom
dc.contributor.author Sintunavarat, Wutiphol
dc.contributor.other Mathematics
dc.contributor.other 02. School of Arts and Sciences
dc.contributor.other 01. Atılım University
dc.date.accessioned 2024-07-05T15:10:21Z
dc.date.available 2024-07-05T15:10:21Z
dc.date.issued 2012
dc.description KARAPINAR, ERDAL/0000-0002-6798-3254; Sintunavarat, Wutiphol/0000-0002-0932-1332; Kumam, Poom/0000-0002-5463-4581 en_US
dc.description.abstract In this paper, we extend the very recent result of Sintunavarat et al. in the paper 'Coupled fixed point theorems for weak contraction mapping under F-invariant set' (Abstr. Appl. Anal. 2012:324874, 2012). In particular, we give an example of a nonlinear contraction mapping for which our result successfully detects a coupled fixed point in contrast to the result of Sintunavarat et al., which is not applied to show the existence of a coupled fixed point. As a consequence, the main results in this paper extend and unify many results in the topic of coupled fixed points including the results of Sintunavarat et al. Also, some applications of the main results are given. MSC: 54H25, 47H10. en_US
dc.description.sponsorship Higher Education Research Promotion and National Research University Project of Thailand, Office of the Higher Education Commission en_US
dc.description.sponsorship This work was supported by the Higher Education Research Promotion and National Research University Project of Thailand, Office of the Higher Education Commission. The third author would like to thank the Research Professional Development Project under the Science Achievement Scholarship of Thailand (SAST). en_US
dc.identifier.doi 10.1186/1687-1812-2012-194
dc.identifier.issn 1687-1812
dc.identifier.scopus 2-s2.0-84873470239
dc.identifier.uri https://doi.org/10.1186/1687-1812-2012-194
dc.identifier.uri https://hdl.handle.net/20.500.14411/1311
dc.language.iso en en_US
dc.publisher Springer international Publishing Ag en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject coupled fixed point en_US
dc.subject F-invariant set en_US
dc.subject partially ordered cone metric space en_US
dc.subject c-distance en_US
dc.title Coupled fixed point theorems in cone metric spaces with a <i>c</i>-distance and applications en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id KARAPINAR, ERDAL/0000-0002-6798-3254
gdc.author.id Sintunavarat, Wutiphol/0000-0002-0932-1332
gdc.author.id Kumam, Poom/0000-0002-5463-4581
gdc.author.institutional Karapınar, Erdal
gdc.author.scopusid 16678995500
gdc.author.scopusid 15056385100
gdc.author.scopusid 30567861500
gdc.author.wosid KARAPINAR, ERDAL/H-3177-2011
gdc.author.wosid Sintunavarat, Wutiphol/AHE-9235-2022
gdc.author.wosid Kumam, Poom/E-7122-2011
gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.description.department Atılım University en_US
gdc.description.departmenttemp [Kumam, Poom; Sintunavarat, Wutiphol] King Mongkuts Univ Technol Thonburi, Fac Sci, Dept Math, Bangkok 10140, Thailand; [Karapinar, Erdal] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.identifier.openalex W2124472212
gdc.identifier.wos WOS:000312837000001
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gdc.openalex.normalizedpercentile 0.87
gdc.opencitations.count 9
gdc.plumx.crossrefcites 4
gdc.plumx.mendeley 7
gdc.plumx.scopuscites 30
gdc.scopus.citedcount 30
gdc.wos.citedcount 29
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