4.7 Article

A numerical schemes and comparisons for fixed point results with applications to the solutions of Volterra integral equations in dislocated extended b - metric space

Journal

ALEXANDRIA ENGINEERING JOURNAL
Volume 59, Issue 2, Pages 815-827

Publisher

ELSEVIER
DOI: 10.1016/j.aej.2020.02.007

Keywords

Dislocated extended b-metric space; Rational weak F-contraction; Fixed point; Metric space

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In this article, we propose a generalization of both b-metric and dislocated metric, namely, dislocated extended b-metric space. After getting some fixed point results, we suggest a relatively simple solution for a Volterra integral equation by using the technique of fixed point in the setting of dislocated extended b-metric space. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.

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