Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-6822141020231001Fixed point theorem for $F$-contraction mappings in partial symmetric space with some applications to chemical reactor integral equations345360802610.22075/ijnaa.2023.26881.3439ENLucas WangweDepartment of Mathematics, College of Science and Technical Education, Mbeya University of Science and Technology, Tanzania0000-0002-4336-4950Santosh KumarDepartment of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania0000-0003-2121-6428Journal Article20220415This paper proves a fixed point theorem for F-contraction mappings in partial symmetric spaces. In doing so, we extended and generalized the results in the literature by employing a rational-type contraction condition. We also provided an illustrative example to support the results. Finally, we demonstrate the results by the applications to Volterra integral equation inclusion and chemical reactor integral equations.https://ijnaa.semnan.ac.ir/article_8026_72cae22112acf153c50efb8ea32a45e3.pdf