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Publication Date:
August 2009
ISSN:
1569-397X
DOI:
10.1515/ROSE.2009.011

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Random Operators and Stochastic Equations

Editor-in-Chief: Girko, Vyacheslav

Managing Editor: Molchanov, S.

Editorial Board Member: Accardi, L. / Albeverio, Sergio / Carmona, R. / Casati, G. / Christopeit, N. / Domanski, C. / Drygas, Hilmar / Gupta, A.K. / Ibragimov, I. / Kirsch, Werner / Klein, A. / Kondratyev, Yuri / Kurotschka, V. / Leonenko, N. / Loubaton, Philippe / Orsingher, E. / Pastur, L. / Rodrigues, Waldyr A. / Shiryaev, Albert / Turbin, A.F. / Veretennikov, Alexandre

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Multi-step random iterations for approximating fixed points of asymptotically nonexpansive random operators in the intermediate sense

Shrabani Banerjeer1 / Binayak S. Choudhury2

1Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, India.

2Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, India.

Citation Information: Random Operators and Stochastic Equations. Volume 17, Issue 2, Pages 159–172, ISSN (Online) 1569-397x, ISSN (Print) 0926-6364, DOI: 10.1515/ROSE.2009.011, August 2009

Publication History:
Received:
2008-12-12
Published Online:
2009-08-19

Abstract

In the present work, we discuss a random multi-step fixed point iteration with errors for a finite family of random asymptotically nonexpansive operators in the intermediate sense. The work is in line with the works on constructions of iterations for finding random fixed points of nonlinear random operators. The present work also generalizes some recently established results in Banach spaces.

Key words.: Multi-step random iteration; random asymptotically nonexpansive mapping in the intermediate sense; random fixed point; uniformly convex Banach space

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