EXISTENCE OF SOLUTION FOR A VOLTERRA TYPE INTEGRAL EQUATION USING DARBO-TYPE F-CONTRACTION

Akutsah, F; Mebawondu, A. A; Narain, O. K

dc.contributor.author	Akutsah, F
dc.contributor.author	Mebawondu, A. A
dc.contributor.author	Narain, O. K
dc.date.accessioned	2022-06-28T13:44:08Z
dc.date.available	2022-06-28T13:44:08Z
dc.date.issued	2021
dc.identifier.citation	Akutsah, F., Mebawondu, A. A. & Narain, O. K.(2021). EXISTENCE OF SOLUTION FOR A VOLTERRA TYPE INTEGRAL EQUATION USING DARBO-TYPE F-CONTRACTION. Advances in Mathematics: Scientific Journal 10 (2021), no.6, 2687–2710 ISSN: 1857-8365 (printed); 1857-8438 (electronic) https://doi.org/10.37418/amsj.10.6.2	en_US
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/306
dc.description.abstract	In this paper, we provide some generalizations of the Darbo’s fixed point theorem and further develop the notion of F-contraction introduced by Wardowski in ( [22], D. Wardowski, Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory and Appl., 94, (2012)). To achieve this, we introduce the notion of Darbo-type F-contraction, cyclic (α, β)-admissible operator and we also establish some fixed point and common fixed point results for this class of mappings in the framework of Banach spaces. In addition, we apply our fixed point results to establish the existence of solution to a Volterra type integral equation.	en_US
dc.description.sponsorship	Francis Akutsah, Akindele Adebayo Mebawondu, and Ojen Kumar Narain	en_US
dc.language.iso	en	en_US
dc.publisher	Advances in Mathematics: Scientific Journal	en_US
dc.relation.ispartofseries	10;6
dc.subject	Darbo type F-contraction, cyclic (α, β)-admissible operator, βadmissible,fixed point and Banach space.	en_US
dc.title	EXISTENCE OF SOLUTION FOR A VOLTERRA TYPE INTEGRAL EQUATION USING DARBO-TYPE F-CONTRACTION	en_US
dc.type	Article	en_US