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

نویسندگان
Rashwan, Ahmed ID 1
Hammad, Hasanen Abuelmagd ID 2

1 Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt

2 Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

doi
10.22052/mir.2017.70306.1050
چکیده

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.

کلیدواژه‌ها
almost sure T-stability, separable Banach spaces, random modified SP-iteration, generalized asymptotically quasi-nonexpansive, random fixed point