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

Authors

  • Rashwan Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
  • Hasanen Hammad Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
Abstract:

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

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Journal title

volume 2  issue 1

pages  9- 21

publication date 2017-06-01

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