| dc.creator | Mebawondu, Akindele Adebayo | |
| dc.creator | Izuchukwu, Chinedu | |
| dc.creator | Oyewole, Kazeem Olawale | |
| dc.creator | Mewomo, Oluwatosin Temitope | |
| dc.date | 2020-10-01 | |
| dc.date.accessioned | 2020-10-16T12:44:58Z | |
| dc.date.available | 2020-10-16T12:44:58Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3586 | |
| dc.identifier | 10.22199/issn.0717-6279-2020-05-0078 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/155189 | |
| dc.description | We introduce a new type of (?, ?)-admissibility and (?, ?)-Z-contraction mappings in the frame work of Gb-metric spaces. Using these concepts, fixed point results for (?, ?)-Z-contraction mappings in the frame work of complete Gb-metric spaces are established. As an application, we discuss the existence of solution for integral equation of the form: x(t) = g(t) + ?10 K(t, s, u(s))ds, t ? [0, 1], O. T. Mewomowhere K : [0, 1]×[0, 1]×R ? R and g : [0, 1] ? R are continuous functions. The results obtained in this paper generalize, unify and improve the results of Liu et al., [19], Antonio-Francisco et al. [25], Khojasteh et al. [16], Kumar et al. [18] and others in this direction. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3586/3558 | |
| dc.rights | Copyright (c) 2020 Akindele Adebayo Mebawondu, Chinedu Izuchukwu, Kazeem Olawale Oyewole, Oluwatosin Temitope Mewomo | en-US |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 39 No. 5 (2020); 1273-1294 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 39 Núm. 5 (2020); 1273-1294 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2020-05 | |
| dc.subject | (α, β)-ZF –contraction | en-US |
| dc.subject | (α, β)-admissible type B mapping | en-US |
| dc.subject | Fixed point; Gb-metric space | en-US |
| dc.subject | 47H09 | en-US |
| dc.subject | Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc. | en-US |
| dc.subject | 47H10 | en-US |
| dc.subject | Fixed-point theorems | en-US |
| dc.subject | 49J20 | en-US |
| dc.subject | Existence theories for optimal control problems involving partial differential equations | en-US |
| dc.subject | 49J40 | en-US |
| dc.subject | Variational inequalities | en-US |
| dc.title | Solution of integral equations via new Z-contraction mapping in Gb-metric spaces | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
| dc.type | text | en-US |
