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

Abstract

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 in-tegrability 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.

Keywords

• almost sure t-stability
• separable banach spaces
• random modified sp-iteration
• generalized asymptotically quasi-nonexpansive
• random fixed point