Weak w2-stability and data dependence of Mann iteration method in Hilbert spaces

Abstract

We study a weaker and more natural notion of stability called weak w2-stability to get an insight in the corresponding results obtained by Mruter and Mruter (J Comput Appl Math 276:110-116, 2015) and Wang (J Comput Appl Math 285:226-229, 2015). A data dependence result for fixed points of strongly demicontractive operators is also established. Some illustrative examples are given to validate results obtained herein.