On the convergence of a fixed point random iteration for random asymptotically quasi-nonexpansive type mappings
Shrabani Banerjee, Binayak Samadder Choudhury · Random Operators and Stochastic Equations · 2013
Abstract. In this paper we consider the problem of convergence of a three-step random fixed point iteration with errors for the case of three random asymptotically quasi-nonxpansive type operators in a real separable Banach space. The stability of the iterative process has also been discussed. We define almost stability and show that the random iteration is almost stable. The present work also generalizes several established results in Banach spaces.