Fixed Point Theorem for Generalized Interpolative Ćirić-Reich-Rus Type $F$-Contraction in Generalized Metric Spaces

In this paper, we prove fixed point theorems for generalized interpolative Ćirić-Reich-Rus type $F$-contraction (in short, generalized interpolative CRR-type $F$-contraction) in the framework of orbitally generalized metric spaces and $F$-Kannan-Reich-Rus-Ćirić type contraction in $T$-orbitally generalized metric spaces. We also construct an example to demonstrate the utility of our main results. Finally, we apply our main result to examine the existence and uniqueness of solutions to the differential equations.