Existence of a Solution of Integral Equations Via Fixed Point Theorem
| dc.contributor.author | Gulyaz, Selma | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Rakocevic, Vladimir | |
| dc.contributor.author | Salimi, Peyman | |
| dc.date.accessioned | 2024-07-05T14:28:29Z | |
| dc.date.available | 2024-07-05T14:28:29Z | |
| dc.date.issued | 2013 | |
| dc.description | Gulyaz, Selma/0000-0002-1876-6560; KARAPINAR, ERDAL/0000-0002-6798-3254 | en_US |
| dc.description.abstract | In 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.sponsorship | Ministry of Science, Technology and Development, Republic of Serbia [174025] | en_US |
| dc.description.sponsorship | The 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.doi | 10.1186/1029-242X-2013-529 | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.scopus | 2-s2.0-84897633760 | |
| dc.identifier.uri | https://doi.org/10.1186/1029-242X-2013-529 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/397 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Journal of Inequalities and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | cyclic representation | en_US |
| dc.subject | fixed point | en_US |
| dc.title | Existence of a Solution of Integral Equations Via Fixed Point Theorem | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | Gulyaz, Selma/0000-0002-1876-6560 | |
| gdc.author.id | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
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| gdc.author.wosid | RAKOČEVIĆ, VLADIMIR/AAE-3781-2020 | |
| gdc.author.wosid | Salimi, Peyman/J-9674-2014 | |
| gdc.author.wosid | Gulyaz, Selma/AAN-9525-2021 | |
| gdc.author.wosid | KARAPINAR, ERDAL/H-3177-2011 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [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, Iran | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 2013 | |
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| gdc.oaire.keywords | fixed point | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | cyclic representation | |
| gdc.oaire.keywords | Discrete Mathematics and Combinatorics | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.keywords | Other nonlinear integral equations | |
| gdc.oaire.keywords | Fixed-point theorems | |
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| gdc.virtual.author | Karapınar, Erdal | |
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