Abstract

We prove some strong convergence of a new random iterative scheme with errors to common random fixed points for three and then N nonself asymptotically quasi-nonexpansive-type random mappings in a real separable Banach space. Our results extend and improve the recent results in Kiziltunc, 2011, Thianwan, 2008, Deng et al., 2012, and Zhou and Wang, 2007 as well as many others.

Highlights

  • Introduction and PreliminariesThe theory of random operators is an important branch of probabilistic analysis which plays a key role in many applied areas

  • We prove some strong convergence of a new random iterative scheme with errors to common random fixed points for three and N nonself asymptotically quasi-nonexpansive-type random mappings in a real separable Banach space

  • The study of random fixed points forms a central topic in this area

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Summary

Introduction

Introduction and PreliminariesThe theory of random operators is an important branch of probabilistic analysis which plays a key role in many applied areas. We prove some strong convergence of a new random iterative scheme with errors to common random fixed points for three and N nonself asymptotically quasi-nonexpansive-type random mappings in a real separable Banach space.

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