Solution of integral equations via new Z-contraction mapping in Gb-metric spaces

Mebawondu, A. A; Izuchukwu, C; Oyewole, K. O; Mewomo, O. T

dc.contributor.author	Mebawondu, A. A
dc.contributor.author	Izuchukwu, C
dc.contributor.author	Oyewole, K. O
dc.contributor.author	Mewomo, O. T
dc.date.accessioned	2022-06-17T14:31:33Z
dc.date.available	2022-06-17T14:31:33Z
dc.date.issued	2020
dc.identifier.citation	Mebawondu, A. A., Izuchukwu, C., Oyewole, K. O., Mewomo, O. T. (2020). Solution of integral equations via new Z-contraction mapping in Gb-metric spaces. Proyecciones (Antofagasta) vol.39 no.5 Antofagasta 2020 http://dx.doi.org/10.22199/issn.0717-6279-2020-05-0078	en_US
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/123
dc.description.abstract	We introduce a new type of (α, β)-admissibility and (α, β)-Z-contraction mappings in the frame work of G b -metric spaces. Using these concepts, fixed point results for (α, β)-Z-contraction mappings in the frame work of complete G b -metric spaces are established. As an application, we discuss the existence of solution for integral equation of the form: x(t) = g(t) + ∫ 1 0 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., [17], Antonio-Francisco et al. [23], Khojasteh et al. [15], Kumar et al. [16] and others in this direction.	en_US
dc.description.sponsorship	A. A. Mebawondu, C. Izuchukwu, K. O. Oyewole, O. T. Mewomo	en_US
dc.language.iso	en	en_US
dc.publisher	Proyecciones (Antofagasta)	en_US
dc.relation.ispartofseries	39;5
dc.subject	(α, β)-ZF -contraction; (α, β)-admissible type B mapping; Fixed point; Gb-metric space	en_US
dc.title	Solution of integral equations via new Z-contraction mapping in Gb-metric spaces	en_US
dc.type	Article	en_US