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

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 -m...

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Autores principales:	Mebawondu,A. A., Izuchukwu,C., Oyewole,K. O., Mewomo,O. T.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:	(α, β)-ZF -contraction (α, β)-admissible type B mapping Fixed point Gb-metric space
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501273
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spelling	oai:scielo:S0716-091720200005012732020-11-16Solution of integral equations via new Z-contraction mapping in Gb-metric spacesMebawondu,A. A.Izuchukwu,C.Oyewole,K. O.Mewomo,O. T. (α, β)-ZF -contraction (α, β)-admissible type B mapping Fixed point Gb-metric space 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.5 20202020-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501273en10.22199/issn.0717-6279-2020-05-0078
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	(α, β)-ZF -contraction (α, β)-admissible type B mapping Fixed point Gb-metric space
spellingShingle	(α, β)-ZF -contraction (α, β)-admissible type B mapping Fixed point Gb-metric space Mebawondu,A. A. Izuchukwu,C. Oyewole,K. O. Mewomo,O. T. Solution of integral equations via new Z-contraction mapping in Gb-metric spaces
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.
author	Mebawondu,A. A. Izuchukwu,C. Oyewole,K. O. Mewomo,O. T.
author_facet	Mebawondu,A. A. Izuchukwu,C. Oyewole,K. O. Mewomo,O. T.
author_sort	Mebawondu,A. A.
title	Solution of integral equations via new Z-contraction mapping in Gb-metric spaces
title_short	Solution of integral equations via new Z-contraction mapping in Gb-metric spaces
title_full	Solution of integral equations via new Z-contraction mapping in Gb-metric spaces
title_fullStr	Solution of integral equations via new Z-contraction mapping in Gb-metric spaces
title_full_unstemmed	Solution of integral equations via new Z-contraction mapping in Gb-metric spaces
title_sort	solution of integral equations via new z-contraction mapping in gb-metric spaces
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501273
work_keys_str_mv	AT mebawonduaa solutionofintegralequationsvianewzcontractionmappingingbmetricspaces AT izuchukwuc solutionofintegralequationsvianewzcontractionmappingingbmetricspaces AT oyewoleko solutionofintegralequationsvianewzcontractionmappingingbmetricspaces AT mewomoot solutionofintegralequationsvianewzcontractionmappingingbmetricspaces
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Solution of integral equations via new Z-contraction mapping in Gb-metric spaces

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