Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings

The purpose of this paper is to study the convergence and the almost sure
T-stability of the modified SP-type random iterative algorithm in a separable Banach spaces. The Bochner integrability of random fixed points of this
kind of random operators, the convergence and the almost sure T-stability
for this kind of generalized asymptotically quasi-nonexpansive random mappings are obtained. Our results are stochastic generalizations of the many
deterministic results.