Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application

The objective of this article is to introduce function weighted L-R-complete dislocated quasi-metric spaces and to present fixed point results fulfilling generalized rational type F-contraction for a multivalued mapping in these spaces. A suitable example confirms our results. We also present an application for a generalized class of nonlinear integral equations. Our results generalize and extend the results of Karapinar et al. (IEEE Access 7:89026–89032, 2019).