convergence and stability of modified random sp-iteration for a generalized asymptotically quasi-nonexpansive mappings

Authors

rashwan 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

abstract

the purpose of this paper is to study the convergence and the almost sure t-stability of the modi ed 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:
mathematics interdisciplinary research

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