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

Advances in Difference Equations

Mohd Salmi Md Noorani¹  Abdullah Shoaib²  Qasim Mahmood²  Aqeel Shahzad²  Stojan Radenović³ 

[1] Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600, Bangi, Selangor, Malaysia;Department of Mathematics and Statistics, Riphah International University, I-14, 44000, Islamabad, Pakistan;Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120, Beograd 35, Serbia;

关键词: L;    Fixed point;    Set-valued mappings;    46S40;    47H10;    54H25;   

DOI  :  10.1186/s13662-021-03458-x

来源: Springer

【 摘 要 】

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).

【 授权许可】

CC BY