The aim of this article is to prove some coincidence and fixed point theorems of hybrid contractions involving left total relations and single-valued mappings in the setting of \(\mathcal{F}\)-metric spaces which was first introduced by Jleli and Samet [M. Jleli, B. Samet, J. Fixed Point Theory Appl., \(\textbf{20}\) (2018), 20 pages]. Finally, an example is also presented to verify the effectiveness and applicability of our main results.