Some notes on the existence of solution for ordinary differential equations via fixed point theory
Summary: We establish a fixed point theorem with \(w\)-distance for nonlinear contractive mappings in complete metric spaces. As applications of our results, we derive the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions. Here, we need not assume that the equation has a lower solution.
scientific article; zbMATH DE number 7022139