Abstract
The intent of this manuscript is to present new rational symmetric pi-xi-contractions and infer some fixed-points for such contractions in the setting of & UTheta;-metric spaces. Furthermore, some related results such as Suzuki-type rational symmetric contractions, orbitally Upsilon-complete, and orbitally continuous mappings in & UTheta;-metric spaces are introduced. Ultimately, the theoretical results are shared to study the existence of the solution to a fractional-order differential equation with one boundary stipulation.