University of Kashan Mathematics Interdisciplinary Research 2538-3639 2 1 2017 06 01 Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings 9 21 44564 10.22052/mir.2017.70306.1050 EN Ahmed Rashwan Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt Hasanen Abuelmagd Hammad Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt Journal Article 2016 12 14 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. https://mir.kashanu.ac.ir/article_44564_a77172732ebdc11046a16577b4a42f00.pdf