A Fixed Point Theorem and an Application for the Cauchy Problem in the Scale of Banach Spaces
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Vo Viet Tri | |
| dc.date.accessioned | 2022-02-15T11:16:55Z | |
| dc.date.accessioned | 2025-09-18T12:10:08Z | |
| dc.date.available | 2022-02-15T11:16:55Z | |
| dc.date.available | 2025-09-18T12:10:08Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | The main aim of this paper is to prove the existence of the fixed point of the sum of two operators in setting of the cone-normed spaces with the values of cone-norm belonging to an ordered locally convex space. We apply this result to prove the existence of global solution of the Cauchy problem with perturbation of the form {x'(t) = f[t, x(t)] + g[t, x(t)], t is an element of[0,infinity), x(0) = x(0)is an element of F-1, in a scale of Banach spaces f(F-s; parallel to center dot parallel to(s)) : s is an element of(0, 1]}. | en_US |
| dc.description.sponsorship | Thu Dau Mot University | en_US |
| dc.description.sponsorship | This research was supported by Thu Dau Mot University. | en_US |
| dc.identifier.citation | Tri, Vo Viet; Karapınar, Erdal (2020). "A Fixed Point Theorem and an Application for the Cauchy Problem in the Scale of Banach Spaces", Filomat, Vol. 34, No. 13, pp. 4387-4398. | en_US |
| dc.identifier.doi | 10.2298/FIL2013387T | |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.issn | 2406-0933 | |
| dc.identifier.scopus | 2-s2.0-85103275676 | |
| dc.identifier.uri | https://doi.org/10.2298/FIL2013387T | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11634 | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Nis, Fac Sci Math | en_US |
| dc.relation.ispartof | Filomat | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Cone Metric Spaces | en_US |
| dc.subject | Cone Normed Spaces | en_US |
| dc.subject | Fixed Point | en_US |
| dc.subject | Scale Of Banach Spaces | en_US |
| dc.title | A Fixed Point Theorem and an Application for the Cauchy Problem in the Scale of Banach Spaces | en_US |
| dc.title | A Fixed Point Theorem and an Application for the Cauchy Problem in the Scale of Banach Spaces | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.author.wosid | Karapinar, Erdal/H-3177-2011 | |
| gdc.author.wosid | Tri, Vo/Aac-3551-2021 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Vo Viet Tri; Karapinar, Erdal] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot City, Binh Duong Prov, Vietnam; [Karapinar, Erdal] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Karapinar, Erdal] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan | en_US |
| gdc.description.endpage | 4398 | en_US |
| gdc.description.issue | 13 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 4387 | en_US |
| gdc.description.volume | 34 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Fixed-point theorems | |
| gdc.oaire.keywords | cone metric spaces | |
| gdc.oaire.keywords | fixed point | |
| gdc.oaire.keywords | scale of Banach spaces | |
| gdc.oaire.keywords | Fixed-point and coincidence theorems (topological aspects) | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | cone normed spaces | |
| gdc.oaire.keywords | Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces | |
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| gdc.virtual.author | Karapınar, Erdal | |
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