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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 315835, 13 pages
Research Article

Computing the Fixed Points of Strictly Pseudocontractive Mappings by the Implicit and Explicit Iterations

Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan

Received 16 February 2012; Accepted 1 March 2012

Academic Editor: Khalida Inayat Noor

Copyright © 2012 Yeong-Cheng Liou. 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.


It is known that strictly pseudocontractive mappings have more powerful applications than nonexpansive mappings in solving inverse problems. In this paper, we devote to study computing the fixed points of strictly pseudocontractive mappings by the iterations. Two iterative methods (one implicit and another explicit) for finding the fixed point of strictly pseudocontractive mappings have been constructed in Hilbert spaces. As special cases, we can use these two methods to find the minimum norm fixed point of strictly pseudocontractive mappings.