Stability results for enriched contraction mappings in convex metric spaces (Q2111135)

Summary: In this paper, we obtain some stability results of fixed point sets for a sequence of enriched contraction mappings in the setting of convex metric spaces. In particular, two types of convergence of mappings, namely, \((\mathscr{G})\)-convergence and \((H)\)-convergence are considered. We also illustrate our results by an application to an initial value problem for an ordinary differential equation.