Strong Convergence Theorems for Zeros of Bounded Maximal Monotone Nonlinear OperatorsReport as inadecuate

Strong Convergence Theorems for Zeros of Bounded Maximal Monotone Nonlinear Operators - Download this document for free, or read online. Document in PDF available to download.

Abstract and Applied AnalysisVolume 2012 2012, Article ID 681348, 19 pages

Research Article

Mathematics Institute, African University of Science and Technology, Abuja, Nigeria

Department of Mathematics, Gaston Berger University, Saint Louis, Senegal

Received 20 November 2011; Accepted 19 January 2012

Academic Editor: Khalida Inayat Noor

Copyright © 2012 C. E. Chidume and N. Djitté. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An iteration process studied by Chidume and Zegeye 2002 is proved to converge strongly to a solution of the equation where A is a bounded m-accretive operator on certain real Banach spaces E that include spaces The iteration process does not involve the computation of the resolvent at any step of the process and does not involve the projection of an initial vector onto the intersection of two convex subsets of E, setbacks associated with the classical proximal point algorithm of Martinet 1970, Rockafellar 1976 and its modifications by various authors for approximating of a solution of this equation. The ideas of the iteration process are applied to approximate fixed points of uniformly continuous pseudocontractive maps.

Author: C. E. Chidume and N. Djitté



Related documents