6533b7d6fe1ef96bd1266f11

RESEARCH PRODUCT

Iterative approximation to a coincidence point of two mappings

David Ariza-ruizJesús Garcia-falset

subject

Computational MathematicsRate of convergenceIterative methodApplied MathematicsNormal convergenceConvergence (routing)Mathematical analysisConvergence testsModes of convergenceCoincidence pointCompact convergenceMathematics

description

In this article two methods for approximating the coincidence point of two mappings are studied and moreover, rates of convergence for both methods are given. These results are illustrated by several examples, in particular we apply such results to study the convergence and their rate of convergence of these methods to the solution of a nonlinear integral equation and of a nonlinear differential equation.

https://doi.org/10.1016/j.amc.2015.03.007