This fixed-point “prox method” has been popular over the last decades. However, the tuning of the iteration parameter r is difficult, because r affects the convergence of the fixed-point iteration ...

Abstract. We study the convergence analysis of a Picard-S iterative method for a particular class of weak-contraction mappings and give a data dependence result for fixed points of these mappings.

The present approach may have significance in the development of novel Receding Horizon Controllers in which replacement of Lagrange's original Reduced Gradient Method was suggested with a simple ...

A uniform transfinite iteration procedure for selecting fixed points of nonexpansive mappings is introduced. This procedure, which applies to arbitrary nonexpansive mappings in Banach spaces having ...