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http://localhost:8080/xmlui/handle/123456789/306| Title: | EXISTENCE OF SOLUTION FOR A VOLTERRA TYPE INTEGRAL EQUATION USING DARBO-TYPE F-CONTRACTION |
| Authors: | Akutsah, F Mebawondu, A. A Narain, O. K |
| Keywords: | Darbo type F-contraction, cyclic (α, β)-admissible operator, βadmissible,fixed point and Banach space. |
| Issue Date: | 2021 |
| Publisher: | Advances in Mathematics: Scientific Journal |
| 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 |
| Series/Report no.: | 10;6 |
| 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. |
| URI: | http://localhost:8080/xmlui/handle/123456789/306 |
| Appears in Collections: | Mathematics |
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