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 Karapınar et al. (IEEE Access 7:89026–89032, 2019).

中文翻译：

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函数加权错位拟度量空间中理性收缩的不动点结果与应用

本文的目的是介绍函数加权的L - R 完全错位拟度量空间，并提出满足这些空间中多值映射的广义有理型 F 收缩的不动点结果。一个合适的例子证实了我们的结果。我们还介绍了一类广义非线性积分方程的应用。我们的结果概括和扩展了 Karapınar 等人的结果。（IEEE 访问 7：89026–89032，2019）。