Convergence and Stability of Modified Random SPIteration for A Generalized Asymptotically QuasiNonexpansive Mappings

The purpose of this paper is to study the convergence and the almost sure T-stability of the modifed SP-type random iterative algorithm in a separable Banach spaces. The Bochner integrability of andom 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.