Abstract
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.
Citation
Fei He. "Some Notes on the Existence of Solution for Ordinary Differential Equations via Fixed Point Theory." Abstr. Appl. Anal. 2014 (SI22) 1 - 6, 2014. https://doi.org/10.1155/2014/309613