Estimating fixed points of non-expansive mappings with an application

Abstract

In this paper, we study a three step iterative scheme to estimate fixed points of non-expansive mappings in the framework of Banach spaces. Further, some convergence results are proved for such mappings. A nontrivial numerical example is presented to verify our assertions and main results. Finally, we approximate the solution of a boundary value problem of second order differential equation.

Keywords

• fixed points
• non-expansive mappings
• iterative schemes
• uniformly convex banach space
• second order ordinary differential equation