Existence of a Solution of Integral Equations Via Fixed Point Theorem

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dc.authoridGulyaz, Selma/0000-0002-1876-6560
dc.authoridKARAPINAR, ERDAL/0000-0002-6798-3254
dc.authorscopusid15837090700
dc.authorscopusid16678995500
dc.authorscopusid6701485245
dc.authorscopusid55469385500
dc.authorwosidRAKOČEVIĆ, VLADIMIR/AAE-3781-2020
dc.authorwosidSalimi, Peyman/J-9674-2014
dc.authorwosidGulyaz, Selma/AAN-9525-2021
dc.authorwosidKARAPINAR, ERDAL/H-3177-2011
dc.contributor.authorGulyaz, Selma
dc.contributor.authorKarapinar, Erdal
dc.contributor.authorRakocevic, Vladimir
dc.contributor.authorSalimi, Peyman
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T14:28:29Z
dc.date.available2024-07-05T14:28:29Z
dc.date.issued2013
dc.departmentAtılım Universityen_US
dc.department-temp[Gulyaz, Selma] Cumhuriyet Univ, Dept Math, Sivas, Turkey; [Karapinar, Erdal] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Rakocevic, Vladimir] Univ Nis, Fac Sci & Math, Nish 18000, Serbia; [Salimi, Peyman] Islamic Azad Univ, Young Researchers & Elite Club, Rasht, Iranen_US
dc.descriptionGulyaz, Selma/0000-0002-1876-6560; KARAPINAR, ERDAL/0000-0002-6798-3254en_US
dc.description.abstractIn this paper, we establish a solution to the following integral equation: u(t) = integral(T)(0) G(t, s)f(s, u(s)) ds for all t is an element of [0,T], (1) where T > 0, f : [0, T] x R -> R and G : [0, T] x [0, T] -> [0, infinity) are continuous functions. For this purpose, we also obtain some auxiliary fixed point results which generalize, improve and unify some fixed point theorems in the literature.en_US
dc.description.sponsorshipMinistry of Science, Technology and Development, Republic of Serbia [174025]en_US
dc.description.sponsorshipThe authors thank the anonymous referees for their remarkable comments, suggestions and ideas that helped to improve this paper. The third author (V Rakocevic) is supported by Grant No. 174025 of the Ministry of Science, Technology and Development, Republic of Serbia.en_US
dc.identifier.citationcount4
dc.identifier.doi10.1186/1029-242X-2013-529
dc.identifier.issn1029-242X
dc.identifier.scopus2-s2.0-84897633760
dc.identifier.urihttps://doi.org/10.1186/1029-242X-2013-529
dc.identifier.urihttps://hdl.handle.net/20.500.14411/397
dc.identifier.wosWOS:000327463000006
dc.identifier.wosqualityQ1
dc.institutionauthorKarapınar, Erdal
dc.language.isoenen_US
dc.publisherSpringeropenen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.scopus.citedbyCount14
dc.subjectcyclic representationen_US
dc.subjectfixed pointen_US
dc.titleExistence of a Solution of Integral Equations Via Fixed Point Theoremen_US
dc.typeArticleen_US
dc.wos.citedbyCount5
dspace.entity.typePublication
relation.isAuthorOfPublication69e25f84-afec-4c79-a19a-1e7811d90143
relation.isAuthorOfPublication.latestForDiscovery69e25f84-afec-4c79-a19a-1e7811d90143
relation.isOrgUnitOfPublication31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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