Random Mann iteration scheme
type: Item
instance of: scholarly article
title: Random Mann iteration scheme
zbMATH Open document ID: 1060.47059
DOI: 10.1016/S0893-9659(02)00149-0
author: Binayak S. Choudhury
published in: Applied Mathematics Letters
publication date: 2003-03-10T00:00:00Z
review text: The author, extending his own results [\textit{B. S. Choudhury} and \textit{M. Ray}, J. Appl. Math. Stochastic Anal. 12, 161--168 (1999; Zbl 0930.47031) and \textit{B. S. Choudhury} and \textit{A. Upadhyay}, Soochow J. Math. 25, 395--400 (1999; Zbl 0946.47046)], introduces a random fixed point iteration that is a random Mann iteration scheme and shows that the random iteration, if convergent, will converge under certain conditions to a random fixed point of a random operator defined in the context of a separable Hilbert space.
reviewed by: Sushil Sharma
Mathematics Subject Classification ID: 47H40
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 1878933
zbMATH Keywords: random Mann iteration
zbMATH Keywords: random operator
zbMATH Keywords: fixed point
zbMATH Keywords: Hilbert space
zbMATH Keywords: measurable functions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1878933