Strong convergence of the CQ method for fixed point iteration processes

Authors:
Carlos Martinez-Yanes;Hong-Kun Xu
Affiliations:
Instituto de Matematicas, Pontificia Unversidad Catolica de Valparaiso, Casilla, Valparaiso, Chile;School of Mathematical Sciences, University of KwaZulu-Natal, Durban, South Africa
Venue:
Nonlinear Analysis: Theory, Methods & Applications
Year:
2006

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Abstract

Strong convergence theorems are obtained for the CQ method for an Ishikawa iteration process, a contractive-type iteration process for nonexpansive mappings, and the proximal point algorithm for maximal monotone operators in Hilbert spaces.