Exponential inequalities for Mann's iterative scheme with functional random errors
Probability
2017-01-24 v2 Functional Analysis
Abstract
In this work, we deal with an iteration method for approximating a fixed point of a contraction mapping using the Mann's algorithm under functional random errors. We first show its almost complete convergence to the fixed point by mean of an exponential inequality and then we specify the induced rate of convergence. We finally build a confidence set for the fixed point.
Cite
@article{arxiv.1612.02895,
title = {Exponential inequalities for Mann's iterative scheme with functional random errors},
author = {Bahia Barache and Idir Arab and Abdelnasser Dahmani},
journal= {arXiv preprint arXiv:1612.02895},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1403.2546 by other authors