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Abstract and Applied Analysis
Volume 2014, Article ID 791209, 8 pages
Research Article

Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert Spaces

1School of Science, Tianjin Polytechnic University, Tianjin 300387, China
2College of Management and Economics, Tianjin University, Tianjin 300072, China
3Department of Mathematics and the RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea
4Department of Mathematics, Dong-A University, Busan 614-714, Republic of Korea

Received 6 December 2013; Accepted 28 December 2013; Published 9 February 2014

Academic Editor: Chong Li

Copyright © 2014 Xiujuan Pan et al. 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 explicit projection algorithm with viscosity technique is constructed for finding the fixed points of the pseudocontractive mapping in Hilbert spaces. Strong convergence theorem is demonstrated. Consequently, as an application, we can approximate to the minimum-norm fixed point of the pseudocontractive mapping.